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Simplifying quantum logic using higher-dimensional Hilbert spaces

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What this work says

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

inferredcites →https://doi.org/10.1002/(issn)1521-3978openalex-snapshot
Fortschritte der Physik
inferredcites →https://doi.org/10.1002/1521-3978(200009)48:9/11<909::aid-prop909>3.0.co;2-2openalex-snapshot
NMR Quantum Computation: A Critical Evaluation
inferredcites →https://doi.org/10.1016/s0167-2789(98)00046-3openalex-snapshot
Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing
inferredcites →https://doi.org/10.1038/35051009openalex-snapshot
A scheme for efficient quantum computation with linear optics
inferredcites →https://doi.org/10.1038/nature01492openalex-snapshot
Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate
inferredcites →https://doi.org/10.1038/nature01494openalex-snapshot
Realization of the Cirac–Zoller controlled-NOT quantum gate
inferredcites →https://doi.org/10.1038/nature02008openalex-snapshot
Controlled collisions for multi-particle entanglement of optically trapped atoms
inferredcites →https://doi.org/10.1038/nature02054openalex-snapshot
Demonstration of an all-optical quantum controlled-NOT gate
inferredcites →https://doi.org/10.1038/nature05896openalex-snapshot
Demonstration of controlled-NOT quantum gates on a pair of superconducting quantum bits
inferredcites →https://doi.org/10.1038/nature06011openalex-snapshot
Controlled exchange interaction between pairs of neutral atoms in an optical lattice
inferredcites →https://doi.org/10.1080/09500340008244040openalex-snapshot
Grover's search algorithm: An optical approach
inferredcites →https://doi.org/10.1093/geront/4.2_part_1.80openalex-snapshot
A Critical Evaluation
inferredcites →https://doi.org/10.1103/physreva.63.052314openalex-snapshot
Toward fault-tolerant quantum computation without concatenation
inferredcites →https://doi.org/10.1103/physreva.64.052312openalex-snapshot
Measurement of qubits
inferredcites →https://doi.org/10.1103/physreva.68.032316openalex-snapshot
Experimental controlled-NOT logic gate for single photons in the coincidence basis
inferredcites →https://doi.org/10.1103/physreva.70.012312openalex-snapshot
Scaling of multiple postselected quantum gates in optics
inferredcites →https://doi.org/10.1103/physreva.75.022313openalex-snapshot
Efficient Toffoli gates using qudits
inferredcites →https://doi.org/10.1103/physrevlett.102.040501openalex-snapshot
Realization of the Quantum Toffoli Gate with Trapped Ions
inferredcites →https://doi.org/10.1103/physrevlett.74.4091openalex-snapshot
Quantum Computations with Cold Trapped Ions
inferredcites →https://doi.org/10.1103/physrevlett.81.2152openalex-snapshot
Experimental Quantum Error Correction
inferredcites →https://doi.org/10.1103/physrevlett.83.1054openalex-snapshot
Separability of Very Noisy Mixed States and Implications for NMR Quantum Computing
inferredcites →https://doi.org/10.1103/physrevlett.88.167901openalex-snapshot
Local Realistic Model for the Dynamics of Bulk-Ensemble NMR Information Processing
inferredcites →https://doi.org/10.1103/physrevlett.91.037903openalex-snapshot
Deterministic Linear Optics Quantum Computation with Single Photon Qubits
inferredcites →https://doi.org/10.1103/physrevlett.91.147902openalex-snapshot
Efficient Classical Simulation of Slightly Entangled Quantum Computations
inferredcites →https://doi.org/10.1103/physrevlett.93.020504openalex-snapshot
Realization of a Photonic Controlled-NOT Gate Sufficient for Quantum Computation
inferredcites →https://doi.org/10.1103/physrevlett.93.040503openalex-snapshot
Optical Quantum Computation Using Cluster States
inferredcites →https://doi.org/10.1103/physrevlett.93.080502openalex-snapshot
Quantum Process Tomography of a Controlled-NOT Gate
inferredcites →https://doi.org/10.1103/physrevlett.95.010501openalex-snapshot
Resource-Efficient Linear Optical Quantum Computation
inferredcites →https://doi.org/10.1103/physrevlett.95.100501openalex-snapshot
Loss-Tolerant Optical Qubits
inferredcites →https://doi.org/10.1103/physrevlett.95.210504openalex-snapshot
Demonstration of a Simple Entangling Optical Gate and Its Use in Bell-State Analysis
inferredcites →https://doi.org/10.1103/physrevlett.95.210505openalex-snapshot
Linear Optics Controlled-Phase Gate Made Simple
inferredcites →https://doi.org/10.1103/physrevlett.95.210506openalex-snapshot
Demonstration of an Optical Quantum Controlled-NOT Gate without Path Interference
inferredcites →https://doi.org/10.1103/physrevlett.96.190501openalex-snapshot
Complete Deterministic Linear Optics Bell State Analysis
inferredcites →https://doi.org/10.1103/physrevlett.98.170502openalex-snapshot
Optical Nondestructive Controlled-NOT Gate without Using Entangled Photons
inferredcites →https://doi.org/10.1103/physrevlett.99.250505openalex-snapshot
Experimental Demonstration of a Compiled Version of Shor’s Algorithm with Quantum Entanglement
inferredcites →https://doi.org/10.1103/revmodphys.79.135openalex-snapshot
Linear optical quantum computing with photonic qubits
inferredcites →https://doi.org/10.1109/sfcs.1994.365700openalex-snapshot
Algorithms for quantum computation: discrete logarithms and factoring
inferredcites →https://doi.org/10.1119/1.1463744openalex-snapshot
Quantum Computation and Quantum Information
inferredcites →https://doi.org/10.1126/science.1097522openalex-snapshot
Control and Measurement of Three-Qubit Entangled States
inferredcites →https://doi.org/10.1126/science.1113479openalex-snapshot
Simulated Quantum Computation of Molecular Energies
inferredcites →https://doi.org/10.1126/science.1130886openalex-snapshot
Measurement of the Entanglement of Two Superconducting Qubits via State Tomography
inferredcites →https://doi.org/10.1126/science.1142892openalex-snapshot
Optical Quantum Computing
inferredcites →https://doi.org/10.1142/2131openalex-snapshot
Quantum Interferometry
inferredcites →https://doi.org/10.1145/505482.505499openalex-snapshot
Quantum computation and quantum information
inferredcites →https://doi.org/10.1364/josab.24.000172openalex-snapshot
Measuring two-qubit gates
inferredcites →https://doi.org/10.26421/qic3.1-7openalex-snapshot
Both Toffoli and Controlled-NOT need little help to universal quantum computing
inferredcites →https://doi.org/10.48550/arxiv.0808.0794openalex-snapshot
Understanding photonic quantum-logic gates: The road to fault tolerance

What points at this work

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

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Back to The Future: A Roadmap for Quantum Simulation From Vintage Quantum Chemistry
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Synthesis and Upper Bound of Schmidt Rank of Bipartite Controlled‐Unitary Gates
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Improved Entanglement‐Based High‐Dimensional Optical Quantum Computation with Linear Optics
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Efficient Self‐Guided Estimation of Schmidt Number via Local Measurements
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Operational Signatures of Non‐Markovian Memory: Entanglement Revivals and Multi‐Time Metrology in a Qubit Pseudomode Channel
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GaAs integrated quantum photonics: Towards compact and multi‐functional quantum photonic integrated circuits
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High‐Dimensional Entanglement for Quantum Communication in the Frequency Domain
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High‐Dimensional Remote State Preparation with Metasurface‐Based Hyper‐Entangled Photon Source
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Advances in quantum control of three‐level superconducting circuit architectures
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Exact solution of multidimensional hyper‐radial Schrödinger equation for many‐electron quantum systems
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High‐Dimensional Quantum Communication: Benefits, Progress, and Future Challenges
inferred← citeshttps://doi.org/10.1002/qute.201900074openalex-snapshot
Quantum Phase Estimation with Time‐Frequency Qudits in a Single Photon
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Parallel Ghost Imaging
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Advances in Chip‐Scale Quantum Photonic Technologies
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Universal Quantum Multi‐Qubit Entangling Gates with Auxiliary Spaces
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Linear Optical Universal Quantum Gates with Higher Success Probabilities
inferred← citeshttps://doi.org/10.1002/qute.202300370openalex-snapshot
Decomposing (n+1)$(n+1)$‐Qubit Toffoli Gate with Shallow Circuit Depth and No Ancilla
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Optimal Quantum Circuits for General Multi‐Qutrit Quantum Computation
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High‐Dimensional Photonic Quantum Computing with a Measurement‐Free Auxiliary System
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A Computation‐Strengthened High‐Dimensional Three‐Qudit Toffoli Gate
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Universal Multiport Interferometers for Post‐Selected Multi‐Photon Gates
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Quantum Computing Using Optics
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Linear Canonical Transforms on Quantum States of Light
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Conclusions and Outlook
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Studying the Cost of n-qubit Toffoli Gates
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Constructing All Qutrit Controlled Clifford+T gates in Clifford+T
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Variational Circuit Based Hybrid Quantum-Classical Algorithm VC-HQCA
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Quantum Correlations and Quantum Coherence in a Hybrid System
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Regression I
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Correlation
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Equivalence Checking in Multi-level Quantum Systems
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A Reconfigurable Two-Qubit Chip
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Distributed Quantum Computation Assisted by Remote Toffoli Gate
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Quantum Logic of Finite Quantum Systems
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Quantum Applications of the Photon
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Optically controlled spin dynamics in a magnetically doped quantum dot
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Image Representation and Processing Using Ternary Quantum Computing
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Basic Concepts of Linear Optical System
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Future Directions
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Experimental implementation of higher dimensional time–energy entanglement
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Typical Unpreparability of Quantum States with Quantum Circuit Model
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Decompositions of n-qubit Toffoli Gates with Linear Circuit Complexity
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Quantum Key Distribution with High Order Fibonacci-like Orbital Angular Momentum States
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Deterministic generations of quantum state with no more than six qubits
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Entangling capability of multivalued bipartite gates and optimal preparation of multivalued bipartite quantum states
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Multifractality in fidelity sequences of optimized Toffoli gates
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Two-qudit geometric phase evolution under dephasing
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Experimental investigation of measurement incompatibility of mutually unbiased bases
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Optimal readout of superconducting qubits exploiting high-level states
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Fast implementation of four-dimensional entangled state via transitionless quantum driving
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A deterministic qudit-dependent high-dimensional photonic quantum gate with weak cross-kerr nonlinearity
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Fast quantum search algorithm for databases of arbitrary size and its implementation in a cavity QED system
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Deterministic linear optical quantum Toffoli gate
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Security of two-way deterministic quantum key distribution with higher-dimensional systems
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Microwave photonics with superconducting quantum circuits
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The resurgence of the linear optics quantum interferometer — recent advances & applications
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Quantum enhancement of qutrit dynamics of a three-level giant atom coupling to a one-dimensional waveguide
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Optical Quantum Computation
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An experimentalist's introduction to orbital angular momentum for quantum optics
inferred← citeshttps://doi.org/10.1017/hpl.2018.1openalex-snapshot
Directly writing binary multi-sector phase plates on fused silica using femtosecond laser
inferred← citeshttps://doi.org/10.1021/acs.inorgchem.1c01267openalex-snapshot
Radiofrequency to Microwave Coherent Manipulation of an Organometallic Electronic Spin Qubit Coupled to a Nuclear Qudit
inferred← citeshttps://doi.org/10.1021/acsami.5c06002openalex-snapshot
A Triple-Site Gd3 Carborane Metal–Organic Framework toward Scalable Quantum Computing
inferred← citeshttps://doi.org/10.1021/acsnano.9b08943openalex-snapshot
Atomic-Scale Patterning of Arsenic in Silicon by Scanning Tunneling Microscopy
inferred← citeshttps://doi.org/10.1021/jacs.3c12008openalex-snapshot
Proof-of-Concept Quantum Simulator Based on Molecular Spin Qudits
inferred← citeshttps://doi.org/10.1021/jacs.3c12827openalex-snapshot
Ligand Effects on the Spin Relaxation Dynamics and Coherent Manipulation of Organometallic La(II) Potential Qudits
inferred← citeshttps://doi.org/10.1021/jacs.8b05934openalex-snapshot
Coherent Manipulation of a Molecular Ln-Based Nuclear Qudit Coupled to an Electron Qubit
inferred← citeshttps://doi.org/10.1038/482164aopenalex-snapshot
The fridge gate
inferred← citeshttps://doi.org/10.1038/nature08812openalex-snapshot
Quantum computers
inferred← citeshttps://doi.org/10.1038/nature09418openalex-snapshot
Generation of three-qubit entangled states using superconducting phase qubits
inferred← citeshttps://doi.org/10.1038/nature10713openalex-snapshot
Implementation of a Toffoli gate with superconducting circuits
inferred← citeshttps://doi.org/10.1038/nature10786openalex-snapshot
Realization of three-qubit quantum error correction with superconducting circuits
inferred← citeshttps://doi.org/10.1038/nature22986openalex-snapshot
On-chip generation of high-dimensional entangled quantum states and their coherent control
inferred← citeshttps://doi.org/10.1038/nchem.483openalex-snapshot
Towards quantum chemistry on a quantum computer
inferred← citeshttps://doi.org/10.1038/ncomms10628openalex-snapshot
Stimulated Raman adiabatic passage in a three-level superconducting circuit
inferred← citeshttps://doi.org/10.1038/ncomms11018openalex-snapshot
Coherent population transfer between uncoupled or weakly coupled states in ladder-type superconducting qutrits
inferred← citeshttps://doi.org/10.1038/ncomms1392openalex-snapshot
Adding control to arbitrary unknown quantum operations
inferred← citeshttps://doi.org/10.1038/ncomms14010openalex-snapshot
Quantum interference between transverse spatial waveguide modes
inferred← citeshttps://doi.org/10.1038/ncomms6617openalex-snapshot
Hidden two-qubit dynamics of a four-level Josephson circuit
inferred← citeshttps://doi.org/10.1038/ncomms8913openalex-snapshot
Experimental superposition of orders of quantum gates
inferred← citeshttps://doi.org/10.1038/nphoton.2009.229openalex-snapshot
Photonic quantum technologies
inferred← citeshttps://doi.org/10.1038/nphoton.2009.93openalex-snapshot
Manipulation of multiphoton entanglement in waveguide quantum circuits
inferred← citeshttps://doi.org/10.1038/nphoton.2012.360openalex-snapshot
Calculating unknown eigenvalues with a quantum algorithm
inferred← citeshttps://doi.org/10.1038/nphoton.2013.107openalex-snapshot
Joining the quantum state of two photons into one
inferred← citeshttps://doi.org/10.1038/nphoton.2013.354openalex-snapshot
Demon-like algorithmic quantum cooling and its realization with quantum optics
inferred← citeshttps://doi.org/10.1038/nphys1603openalex-snapshot
Experimental demonstration of a hyper-entangled ten-qubit Schrödinger cat state
inferred← citeshttps://doi.org/10.1038/nphys2253openalex-snapshot
Photonic quantum simulators
inferred← citeshttps://doi.org/10.1038/nphys2334openalex-snapshot
Experimental estimation of the dimension of classical and quantum systems
inferred← citeshttps://doi.org/10.1038/npjqi.2016.19openalex-snapshot
Quantum gate learning in qubit networks: Toffoli gate without time-dependent control
inferred← citeshttps://doi.org/10.1038/s41467-017-01156-5openalex-snapshot
Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit
inferred← citeshttps://doi.org/10.1038/s41467-017-01215-xopenalex-snapshot
Single-shot measurement of the orbital-angular-momentum spectrum of light
inferred← citeshttps://doi.org/10.1038/s41467-019-09429-xopenalex-snapshot
Excitation and coherent control of spin qudit modes in silicon carbide at room temperature
inferred← citeshttps://doi.org/10.1038/s41467-022-34851-zopenalex-snapshot
High-fidelity qutrit entangling gates for superconducting circuits
inferred← citeshttps://doi.org/10.1038/s41467-023-37375-2openalex-snapshot
Native qudit entanglement in a trapped ion quantum processor
inferred← citeshttps://doi.org/10.1038/s41467-023-43950-4openalex-snapshot
Remote transport of high-dimensional orbital angular momentum states and ghost images via spatial-mode-engineered frequency conversion
inferred← citeshttps://doi.org/10.1038/s41467-025-59717-yopenalex-snapshot
Observation of Genuine High-dimensional Multi-partite Non-locality in Entangled Photon States
inferred← citeshttps://doi.org/10.1038/s41534-018-0087-xopenalex-snapshot
Nondestructive detector for exchange symmetry of photonic qubits
inferred← citeshttps://doi.org/10.1038/s41534-018-0101-3openalex-snapshot
Generalized Ramsey interferometry explored with a single nuclear spin qudit
inferred← citeshttps://doi.org/10.1038/s41534-018-0121-zopenalex-snapshot
On-chip transverse-mode entangled photon pair source
inferred← citeshttps://doi.org/10.1038/s41534-020-0260-xopenalex-snapshot
Three-dimensional entanglement on a silicon chip
inferred← citeshttps://doi.org/10.1038/s41534-022-00627-yopenalex-snapshot
Quantum Fredkin and Toffoli gates on a versatile programmable silicon photonic chip
inferred← citeshttps://doi.org/10.1038/s41534-023-00691-yopenalex-snapshot
Experimental metrology beyond the standard quantum limit for a wide resources range
inferred← citeshttps://doi.org/10.1038/s41534-023-00725-5openalex-snapshot
On-chip parallel processing of quantum frequency comb
inferred← citeshttps://doi.org/10.1038/s41534-024-00829-6openalex-snapshot
Noisy qudit vs multiple qubits: conditions on gate efficiency for enhancing fidelity
inferred← citeshttps://doi.org/10.1038/s41534-024-00892-zopenalex-snapshot
Extending the computational reach of a superconducting qutrit processor
inferred← citeshttps://doi.org/10.1038/s41534-025-00990-6openalex-snapshot
High-dimensional entanglement witnessed by correlations in arbitrary bases
inferred← citeshttps://doi.org/10.1038/s41534-025-01031-yopenalex-snapshot
Control and readout of a 13-level trapped ion qudit
inferred← citeshttps://doi.org/10.1038/s41566-019-0363-0openalex-snapshot
Quantum optical microcombs
inferred← citeshttps://doi.org/10.1038/s41566-019-0553-9openalex-snapshot
Programmable linear quantum networks with a multimode fibre
inferred← citeshttps://doi.org/10.1038/s41566-026-01846-xopenalex-snapshot
Heralded high-dimensional photon–photon quantum gate
inferred← citeshttps://doi.org/10.1038/s41567-022-01658-0openalex-snapshot
A universal qudit quantum processor with trapped ions
inferred← citeshttps://doi.org/10.1038/s41567-022-01813-7openalex-snapshot
Scalable algorithm simplification using quantum AND logic
inferred← citeshttps://doi.org/10.1038/s41598-017-01245-xopenalex-snapshot
Distributed atomic quantum information processing via optical fibers
inferred← citeshttps://doi.org/10.1038/s41598-017-04444-8openalex-snapshot
Experimental Demonstration of Four-Dimensional Photonic Spatial Entanglement between Multi-core Optical Fibres
inferred← citeshttps://doi.org/10.1038/s41598-017-07225-5openalex-snapshot
Transferring arbitrary d-dimensional quantum states of a superconducting transmon qudit in circuit QED
inferred← citeshttps://doi.org/10.1038/s41598-019-49657-1openalex-snapshot
Realization of efficient quantum gates with a superconducting qubit-qutrit circuit
inferred← citeshttps://doi.org/10.1038/s41598-020-72469-7openalex-snapshot
Quantum circuit optimization using quantum Karnaugh map
inferred← citeshttps://doi.org/10.1038/s42004-020-00422-wopenalex-snapshot
A dissymmetric [Gd2] coordination molecular dimer hosting six addressable spin qubits
inferred← citeshttps://doi.org/10.1038/s42005-021-00524-4openalex-snapshot
Quantum capacity analysis of multi-level amplitude damping channels
inferred← citeshttps://doi.org/10.1038/s42005-022-01017-8openalex-snapshot
High cooperativity coupling to nuclear spins on a circuit quantum electrodynamics architecture
inferred← citeshttps://doi.org/10.1038/s42254-023-00588-xopenalex-snapshot
Progress in quantum teleportation
inferred← citeshttps://doi.org/10.1038/s44310-026-00114-8openalex-snapshot
Recent progress towards large-scale integrated photonic quantum computation
inferred← citeshttps://doi.org/10.1038/srep04044openalex-snapshot
Geometry of Quantum Computation with Qudits
inferred← citeshttps://doi.org/10.1038/srep04476openalex-snapshot
Extreme violation of local realism with a hyper-entangled four-photon-eight-qubit Greenberger-Horne-Zelinger state
inferred← citeshttps://doi.org/10.1038/srep06115openalex-snapshot
A two-qubit photonic quantum processor and its application to solving systems of linear equations
inferred← citeshttps://doi.org/10.1038/srep07361openalex-snapshot
Distribution of quantum Fisher information in asymmetric cloning machines
inferred← citeshttps://doi.org/10.1038/srep12452openalex-snapshot
Experimental demonstration of a quantum router
inferred← citeshttps://doi.org/10.1038/srep12792openalex-snapshot
Highly Efficient Processing of Multi-photon States
inferred← citeshttps://doi.org/10.1038/srep13255openalex-snapshot
Photonic ququart logic assisted by the cavity-QED system
inferred← citeshttps://doi.org/10.1038/srep15125openalex-snapshot
Qubit-Programmable Operations on Quantum Light Fields
inferred← citeshttps://doi.org/10.1038/srep16716openalex-snapshot
Hybrid Toffoli gate on photons and quantum spins
inferred← citeshttps://doi.org/10.1038/srep20956openalex-snapshot
Artificial Life in Quantum Technologies
inferred← citeshttps://doi.org/10.1038/srep33475openalex-snapshot
Experimental investigation of a four-qubit linear-optical quantum logic circuit
inferred← citeshttps://doi.org/10.1038/srep41472openalex-snapshot
Guided magnonic Michelson interferometer
inferred← citeshttps://doi.org/10.1038/srep45353openalex-snapshot
Implementation of a quantum controlled-SWAP gate with photonic circuits
inferred← citeshttps://doi.org/10.1039/c8sc01695jopenalex-snapshot
A two-qubit molecular architecture for electron-mediated nuclear quantum simulation
inferred← citeshttps://doi.org/10.1039/d1sc01358kopenalex-snapshot
Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear qudit with an electronic ancilla
inferred← citeshttps://doi.org/10.1039/d1tc00851jopenalex-snapshot
A proposal for using molecular spin qudits as quantum simulators of light–matter interactions
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