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An algorithmic benchmark for quantum information processing

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-46877-3_23openalex-snapshot
Experimental Quantum Cryptography
inferredcites →https://doi.org/10.1007/bf00191318openalex-snapshot
Experimental quantum cryptography
inferredcites →https://doi.org/10.1016/0022-2364(91)90227-kopenalex-snapshot
Slice selection in NMR imaging by use of the B1 gradient along the axial direction of a saddle-shaped coil
inferredcites →https://doi.org/10.1016/0079-6565(84)80005-9openalex-snapshot
Product operator formalism for the description of NMR pulse experiments
inferredcites →https://doi.org/10.1038/23891openalex-snapshot
Complete quantum teleportation using nuclear magnetic resonance
inferredcites →https://doi.org/10.1038/30156openalex-snapshot
A silicon-based nuclear spin quantum computer
inferredcites →https://doi.org/10.1038/30181openalex-snapshot
Experimental realization of a quantum algorithm
inferredcites →https://doi.org/10.1038/30687openalex-snapshot
Implementation of a quantum search algorithm on a quantum computer
inferredcites →https://doi.org/10.1063/1.444180openalex-snapshot
Determination of dipole coupling constants using heteronuclear multiple quantum NMR
inferredcites →https://doi.org/10.1070/rm1997v052n06abeh002155openalex-snapshot
Quantum computations: algorithms and error correction
inferredcites →https://doi.org/10.1073/pnas.94.5.1634openalex-snapshot
Ensemble quantum computing by NMR spectroscopy
inferredcites →https://doi.org/10.1093/oso/9780198504818.001.0001openalex-snapshot
Spin Choreography
inferredcites →https://doi.org/10.1103/physreva.52.3457openalex-snapshot
Elementary gates for quantum computation
inferredcites →https://doi.org/10.1103/physreva.54.2614openalex-snapshot
Sending entanglement through noisy quantum channels
inferredcites →https://doi.org/10.1103/physreva.57.120openalex-snapshot
Quantum computation with quantum dots
inferredcites →https://doi.org/10.1103/physreva.57.3348openalex-snapshot
Effective pure states for bulk quantum computation
inferredcites →https://doi.org/10.1103/physreva.59.169openalex-snapshot
Quantum repeaters based on entanglement purification
inferredcites →https://doi.org/10.1103/physrevlett.74.4091openalex-snapshot
Quantum Computations with Cold Trapped Ions
inferredcites →https://doi.org/10.1103/physrevlett.79.2371openalex-snapshot
Quantum Manipulations of Small Josephson Junctions
inferredcites →https://doi.org/10.1103/physrevlett.81.2152openalex-snapshot
Experimental Quantum Error Correction
inferredcites →https://doi.org/10.1103/physrevlett.83.3085openalex-snapshot
Realization of Logically Labeled Effective Pure States for Bulk Quantum Computation
inferredcites →https://doi.org/10.1109/77.622206openalex-snapshot
Prospects for quantum coherent computation using superconducting electronics
inferredcites →https://doi.org/10.1126/science.275.5298.350openalex-snapshot
Bulk Spin-Resonance Quantum Computation
inferredcites →https://doi.org/10.1126/science.279.5349.342openalex-snapshot
Resilient Quantum Computation
inferredcites →https://doi.org/10.1137/s0097539795293172openalex-snapshot
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
inferredcites →https://doi.org/10.1137/s0097539796298637openalex-snapshot
On the Power of Quantum Computation
inferredcites →https://doi.org/10.1145/1008908.1008920openalex-snapshot
Conjugate coding
inferredcites →https://doi.org/10.4213/rm892openalex-snapshot
Квантовые вычисления: алгоритмы и исправление ошибок
inferredcites →https://doi.org/10.48550/arxiv.quant-ph/9905087openalex-snapshot
Realization of a 5-bit NMR Quantum Computer Using a New Molecular Architecture

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Frame Change Technique for Phase Transient Cancellation
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NMR Quantum Computing
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NMR Based Quantum Information Processing: Achievements and Prospects
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Liquid-State Quantum Computing
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Liquid-State NMR Quantum Computing
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Quantum Computing Implemented via Optimal Control: Theory and Application to Spin and Pseudo‐Spin Systems
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Quantum Computing Implemented via Optimal Control: Application to Spin and Pseudospin Systems
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NMR quantum toys
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Engineering of an all‐heteronuclear 5‐qubit NMR quantum computer
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Machine Learning Experimental Multipartite Entanglement Structure
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NMR Quantum Information Processing
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Parallelisierung, Nebenläufigkeit und alternative Modelle
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Quantum Computation: Theory, Practice, and Future Prospects
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NMR Quantum Information Processing
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Local Convertibility in Quantum Spin Systems
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Parallelism, Concurrency, and Alternative Models
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The Dynamics of Quantum Computing in Molecules
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Conditional Spin Resonance with Trapped Ions
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NMR experimental realization of seven-qubit D-J algorithm and controlled phase-shift gates with improved precision
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Non-computing applications of quantum information in NMR
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Quantum Algorithms: Philosophical Lessons
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NMR Quantum Information Processing
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A Nuclear Spin Valve: Towards the Read-out of Single Nuclear Spin Qubits
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Hyperfine spin qubits in irradiated malonic acid: heat-bath algorithmic cooling
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Models in quantum computing: a systematic review
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One-step method for preparing the experimental pure state in nuclear magnetic resonance
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Algorithmic cooling based on cross-relaxation and decoherence-free subspace
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Preparation of pseudo-pure states for NMR quantum computing with one ancillary qubit
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Experimental measurement of bipartite entanglement using parameterized quantum circuits
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Complete multiple round quantum dense coding with quantum logical network
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Simulation of the four-body interaction in a nuclear magnetic resonance quantum information processor
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Spin qubits for quantum simulations
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Noisy intermediate-scale quantum computers
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Developments in quantum information processing by nuclear magnetic resonance: Use of quadrupolar and dipolar couplings
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Biomedical Quantum Computer
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Fundamentals of Quantum Computation and Quantum Information
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Realization of the new summing algorithm on an NMR ensemble quantum computer
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A cell-based smoothed finite element method stabilized by implicit SUPG/SPGP/Fractional step method for incompressible flow
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A cell-based smoothed finite element method (CS-FEM) for three-dimensional incompressible laminar flows using mixed wedge-hexahedral element
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A study of the relaxation dynamics in a quadrupolar NMR system using Quantum State Tomography
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Frame change technique for phase transient cancellation
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Quantum data visualization: A quantum computing framework for enhancing visual analysis of data
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Short-time decoherence of a quantum Hadamard gate with Josephson charge qubits
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Computation in finitary stochastic and quantum processes
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NMR analogues of the quantum Zeno effect
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Quantum simulations of a particle in one-dimensional potentials using NMR
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Quantum computing with NMR
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Controlling NMR spin systems for quantum computation
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Experimental study of Forrelation in nuclear spins
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A simulator for ensemble quantum computing
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NMR quantum computation
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Experimental realization of a highly structured search algorithm
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Detecting quantum entanglement
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Simultaneous intraportation of many quantum states within the quantum computing network
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Estimating the efficiency of ensemble quantum computing
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Experimental implementation of remote state preparation by nuclear magnetic resonance
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Experimental Demonstration of Quantum Lattice Gas Computation
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Expansion Around the Mean Field in Quantum Magnetic Systems
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Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
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Quantum computing with realistically noisy devices
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Creation of a six-atom ‘Schrödinger cat’ state
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Experimental implementation of heat-bath algorithmic cooling using solid-state nuclear magnetic resonance
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Experimental magic state distillation for fault-tolerant quantum computing
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Digital quantum simulation of the statistical mechanics of a frustrated magnet
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Non-Markovianity-assisted high-fidelity Deutsch–Jozsa algorithm in diamond
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Uncertainty equality with quantum memory and its experimental verification
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Implementation of XY entangling gates with a single calibrated pulse
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Benchmarking quantum computers
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Quantum correlations which imply causation
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Experimental realization of the Yang-Baxter Equation via NMR interferometry
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Toward quantum information processing by nuclear magnetic resonance: Pseudopure states and logical operations using selective pulses on an oriented spin 3/2 nucleus
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Pairs of pseudopure states for 4- and 5-qubit nuclear magnetic resonance systems
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Non-thermal nuclear magnetic resonance quantum computing using hyperpolarized xenon
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Design of strongly modulating pulses to implement precise effective Hamiltonians for quantum information processing
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Experimental realization of a fetching algorithm in a 7-qubit NMR spin Liouville space computer
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“Spectral implementation” for creating a labeled pseudo-pure state and the Bernstein–Vazirani algorithm in a four-qubit nuclear magnetic resonance quantum processor
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A simple method for the preparation of pseudopure states in nuclear magnetic resonance quantum information processing
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Spectral implementation of some quantum algorithms by one- and two-dimensional nuclear magnetic resonance
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Pseudopure state of a twelve-spin system
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Twelve-spin “Schrödinger cat”
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Spins as qubits: Quantum information processing by nuclear magnetic resonance
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Quantum gate operations using midinfrared binary shaped pulses on the rovibrational states of carbon monoxide
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Hardware for dynamic quantum computing
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Frequency-based Quantum Computers from a Chemist’s Perspective
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Algorithmic cooling and scalable NMR quantum computers
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Simulated quantum computation of global minima
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Harnessing the power of quantum systems based on spin magnetic resonance: from ensembles to single spins
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Realization of the Fredkin Gate by Three Transition Pulses in a Nuclear Magnetic Resonance Quantum Information Processor
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Implementation of Quantum Private Queries Using Nuclear Magnetic Resonance
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Helicase on DNA: a phase coexistence based mechanism
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Maximal suppression of decoherence in Markovian quantum systems
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Randomized benchmarking of single- and multi-qubit control in liquid-state NMR quantum information processing
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Three path interference using nuclear magnetic resonance: a test of the consistency of Born's rule
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Simulation of anyonic statistics and its topological path independence using a seven-qubit quantum simulator
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Use of composite rotations to correct systematic errors in NMR quantum computation
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Resurrection of Schrödinger's cat
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On the freedom in representing quantum operations
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Sculpting bosonic states with arithmetic subtractions
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Nuclear magnetic resonance for quantum computing: Techniques and recent achievements
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Low-temperature environments for quantum computation and quantum simulation*
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Quantum simulations with nuclear magnetic resonance system*
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Quantum Information Science
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Copyright Page
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Preface
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Dedication
inferred← citeshttps://doi.org/10.1093/oso/9780198787488.003.0001openalex-snapshot
Mathematical tools
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Computational models
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Linear algebra
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Quantum mechanics
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Quantum circuits
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Density operators
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Quantum maps
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Decoherence
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Entanglement
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Early quantum algorithms
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Quantum simulation of Hamiltonian dynamics
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Quantum simulation of Hamiltonian eigenstates
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Microwave resonators for superconducting devices
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Superconducting qubits
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The rotating wave approximation
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Advanced quantum mechanics
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The quantum Fourier transform
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The molecular Hamiltonian in second quantization
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Oblivious amplitude amplification lemma
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Quantum signal processing
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Experimental demonstration of information to energy conversion in a quantum system at the Landauer limit
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Controlling and exploiting phases in multi-spin systems using electron spin resonance and nuclear magnetic resonance
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Solid-state multiple quantum NMR in quantum information processing: exactly solvable models
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Non-adiabatic quantum control of quantum dot arrays with fixed exchange using Cartan decomposition
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On-Device Learning of Optimal Probes via Out-of-Time-Order Correlators in Noise-Adaptive Quantum Metrology
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Optimal bounds on state transfer under quantum channels with application to spin system engineering
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Experimental simulation of the four-dimensional Yang-Baxter equation on a spin quantum simulator
inferred← citeshttps://doi.org/10.1103/physreva.104.062615openalex-snapshot
Experimental observation of a quadrupolar phase via quench dynamics on a spin simulator
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Noisy quantum amplitude estimation without noise estimation
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Reverse engineering of one-qubit filter functions with dynamical invariants
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Practical quantum simulation of small-scale non-Hermitian dynamics
inferred← citeshttps://doi.org/10.1103/physreva.108.052603openalex-snapshot
Accelerating quantum optimal control through iterative gradient-ascent pulse engineering
inferred← citeshttps://doi.org/10.1103/physreva.62.052314openalex-snapshot
Spatially encoded pseudopure states for NMR quantum-information processing
inferred← citeshttps://doi.org/10.1103/physreva.63.020301openalex-snapshot
Method of multifrequency excitation for creating pseudopure states for NMR quantum computing
inferred← citeshttps://doi.org/10.1103/physreva.63.022304openalex-snapshot
Use of pairs of pseudopure states for NMR quantum computing
inferred← citeshttps://doi.org/10.1103/physreva.63.042302openalex-snapshot
Implementing universal multiqubit quantum logic gates in three- and four-spin systems at room temperature
inferred← citeshttps://doi.org/10.1103/physreva.63.052308openalex-snapshot
Grover search with pairs of trapped ions
inferred← citeshttps://doi.org/10.1103/physreva.63.052315openalex-snapshot
Quantum computing with quantum-dot cellular automata
inferred← citeshttps://doi.org/10.1103/physreva.64.012307openalex-snapshot
Ensemble quantum-information processing by NMR: Spatially averaged logical labeling technique for creating pseudopure states
inferred← citeshttps://doi.org/10.1103/physreva.65.022312openalex-snapshot
Ensemble quantum-information processing by NMR: Implementation of gates and the creation of pseudopure states using dipolar coupled spins as qubits
inferred← citeshttps://doi.org/10.1103/physreva.65.032316openalex-snapshot
Quantum dynamics of two coupled qubits
inferred← citeshttps://doi.org/10.1103/physreva.65.042315openalex-snapshot
Experimental implementation of Hogg’s algorithm on a three-quantum-bit NMR quantum computer
inferred← citeshttps://doi.org/10.1103/physreva.66.012306openalex-snapshot
Read-only-memory-based quantum computation: Experimental explorations using nuclear magnetic resonance and future prospects
inferred← citeshttps://doi.org/10.1103/physreva.66.042305openalex-snapshot
Modification and realization of Brüschweiler’s search
inferred← citeshttps://doi.org/10.1103/physreva.67.012317openalex-snapshot
Robust Ising gates for practical quantum computation
inferred← citeshttps://doi.org/10.1103/physreva.68.022311openalex-snapshot
Relaxation of coherent states in a two-qubit NMR quadrupole system
inferred← citeshttps://doi.org/10.1103/physreva.68.032311openalex-snapshot
Verification procedures for quantum noiseless subsystems
inferred← citeshttps://doi.org/10.1103/physreva.68.032318openalex-snapshot
Entanglement and correlation in anisotropic quantum spin systems
inferred← citeshttps://doi.org/10.1103/physreva.70.022311openalex-snapshot
Multiqubit maximally entangled states in the NMR model
inferred← citeshttps://doi.org/10.1103/physreva.70.022330openalex-snapshot
Preparation of pseudopure states in a cluster of dipolar-coupled spins using multiple-quantum dynamics
inferred← citeshttps://doi.org/10.1103/physreva.70.032324openalex-snapshot
Implementation of NMR quantum computation with parahydrogen-derived high-purity quantum states
inferred← citeshttps://doi.org/10.1103/physreva.70.062322openalex-snapshot
Nuclear magnetic resonance implementation of a quantum clock synchronization algorithm
inferred← citeshttps://doi.org/10.1103/physreva.71.032344openalex-snapshot
Liquid-state NMR simulations of quantum many-body problems
inferred← citeshttps://doi.org/10.1103/physreva.71.062328openalex-snapshot
Experimental demonstration of efficient and selective population transfer and qubit distillation in a rare-earth-metal-ion-doped crystal
inferred← citeshttps://doi.org/10.1103/physreva.72.032315openalex-snapshot
Compiling gate networks on an Ising quantum computer
inferred← citeshttps://doi.org/10.1103/physreva.72.062317openalex-snapshot
Experimental implementation of a discrete-time quantum random walk on an NMR quantum-information processor
inferred← citeshttps://doi.org/10.1103/physreva.73.022305openalex-snapshot
Solid-state NMR three-qubit homonuclear system for quantum-information processing: Control and characterization
inferred← citeshttps://doi.org/10.1103/physreva.73.022322openalex-snapshot
Sharing polarization within quantum subspaces
inferred← citeshttps://doi.org/10.1103/physreva.73.032323openalex-snapshot
Time-reversal formalism applied to maximal bipartite entanglement: Theoretical and experimental exploration
inferred← citeshttps://doi.org/10.1103/physreva.74.052324openalex-snapshot
Single qubit gates with jump and return sequences
inferred← citeshttps://doi.org/10.1103/physreva.75.012331openalex-snapshot
Using error correction to determine the noise model
inferred← citeshttps://doi.org/10.1103/physreva.75.022324openalex-snapshot
Asymptotically noise decoupling for Markovian open quantum systems
inferred← citeshttps://doi.org/10.1103/physreva.75.042320openalex-snapshot
Experimental implementation of a logical Bell state encoding
inferred← citeshttps://doi.org/10.1103/physreva.75.042321openalex-snapshot
Subsystem pseudopure states
inferred← citeshttps://doi.org/10.1103/physreva.77.062328openalex-snapshot
Linear optical scheme to demonstrate genuine multipartite entanglement for single-particle W states
inferred← citeshttps://doi.org/10.1103/physreva.78.012328openalex-snapshot
Liquid-state nuclear magnetic resonance as a testbed for developing quantum control methods
inferred← citeshttps://doi.org/10.1103/physreva.79.012305openalex-snapshot
Direct observation of quantum criticality in Ising spin chains
inferred← citeshttps://doi.org/10.1103/physreva.79.042328openalex-snapshot
Error characterization in quantum information processing: A protocol for analyzing spatial correlations and its experimental implementation
inferred← citeshttps://doi.org/10.1103/physreva.80.032316openalex-snapshot
Entanglement dynamics of spin systems in pure states
inferred← citeshttps://doi.org/10.1103/physreva.82.022330openalex-snapshot
Magnetic field sensors using 13-spin cat states
inferred← citeshttps://doi.org/10.1103/physreva.82.032315openalex-snapshot
Preparing pseudopure states with controlled-transfer gates
inferred← citeshttps://doi.org/10.1103/physreva.82.052302openalex-snapshot
Initialization of NMR quantum registers using long-lived singlet states
inferred← citeshttps://doi.org/10.1103/physreva.84.034303openalex-snapshot
Experimental quantum error correction with high fidelity
inferred← citeshttps://doi.org/10.1103/physreva.85.062312openalex-snapshot
Experimental implementation of a codeword-stabilized quantum code
inferred← citeshttps://doi.org/10.1103/physreva.88.022305openalex-snapshot
Experimental simulation of anyonic fractional statistics with an NMR quantum-information processor
inferred← citeshttps://doi.org/10.1103/physreva.89.022313openalex-snapshot
Experimental realization of quantum algorithm for solving linear systems of equations
inferred← citeshttps://doi.org/10.1103/physreva.91.012330openalex-snapshot
Experimental implementation of quantum gates through actuator qubits
inferred← citeshttps://doi.org/10.1103/physreva.92.062332openalex-snapshot
High-fidelity gate operations for quantum computing beyond dephasing time limits
inferred← citeshttps://doi.org/10.1103/physreva.94.012312openalex-snapshot
Approximation of reachable sets for coherently controlled open quantum systems: Application to quantum state engineering
inferred← citeshttps://doi.org/10.1103/physreva.94.032316openalex-snapshot
Selective-pulse-network compilation on a liquid-state nuclear-magnetic-resonance system
inferred← citeshttps://doi.org/10.1103/physreva.96.022330openalex-snapshot
Efficient Z gates for quantum computing
inferred← citeshttps://doi.org/10.1103/physrevapplied.13.034002openalex-snapshot
Rescaling Interactions for Quantum Control
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