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The role of symmetries in adiabatic quantum algorithms

https://doi.org/10.26421/qic10.1-2-9
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What this work says

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

inferredcites →https://doi.org/10.1002/9781118032718.ch5openalex-snapshot
The Phase Transition
inferredcites →https://doi.org/10.1007/3-540-60590-8_29openalex-snapshot
TEA, a tiny encryption algorithm
inferredcites →https://doi.org/10.1007/s11128-004-7712-7openalex-snapshot
Consistency of the Adiabatic Theorem
inferredcites →https://doi.org/10.1016/b0-12-512666-2/00132-2openalex-snapshot
Quantum Phase Transitions
inferredcites →https://doi.org/10.1088/0305-4470/36/11/313openalex-snapshot
Energy and efficiency of adiabatic quantum search algorithms
inferredcites →https://doi.org/10.1103/physreva.65.012322openalex-snapshot
Robustness of adiabatic quantum computation
inferredcites →https://doi.org/10.1103/physreva.65.042308openalex-snapshot
Quantum search by local adiabatic evolution
inferredcites →https://doi.org/10.1103/physreva.68.052313openalex-snapshot
Effects of a random noisy oracle on search algorithm complexity
inferredcites →https://doi.org/10.1103/physreva.69.052308openalex-snapshot
Universality of entanglement and quantum-computation complexity
inferredcites →https://doi.org/10.1103/physreva.69.062302openalex-snapshot
Adiabatic quantum computation and quantum phase transitions
inferredcites →https://doi.org/10.1103/physreva.71.012331openalex-snapshot
Adiabatic approximation in open quantum systems
inferredcites →https://doi.org/10.1103/physreva.71.032330openalex-snapshot
Noise resistance of adiabatic quantum computation using random matrix theory
inferredcites →https://doi.org/10.1103/physreva.71.060312openalex-snapshot
Robustness of the adiabatic quantum search
inferredcites →https://doi.org/10.1103/physreva.71.062305openalex-snapshot
Scaling of the running time of the quantum adiabatic algorithm for propositional satisfiability
inferredcites →https://doi.org/10.1103/physreva.72.022328openalex-snapshot
Adiabatic approximation for weakly open systems
inferredcites →https://doi.org/10.1103/physreva.72.042317openalex-snapshot
Quantum adiabatic search with decoherence in the instantaneous energy eigenbasis
inferredcites →https://doi.org/10.1103/physreva.73.022344openalex-snapshot
Simulation of many-qubit quantum computation with matrix product states
inferredcites →https://doi.org/10.1103/physreva.73.062307openalex-snapshot
General error estimate for adiabatic quantum computing
inferredcites →https://doi.org/10.1103/physreva.74.060304openalex-snapshot
Adiabatic quantum algorithms as quantum phase transitions: First versus second order
inferredcites →https://doi.org/10.1103/physreva.75.052321openalex-snapshot
Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
inferredcites →https://doi.org/10.1103/physreva.75.062313openalex-snapshot
Non-Markovian decoherence in the adiabatic quantum search algorithm
inferredcites →https://doi.org/10.1103/physreva.76.030304openalex-snapshot
Decoherence in a dynamical quantum phase transition of the transverse Ising chain
inferredcites →https://doi.org/10.1103/physreva.78.032328openalex-snapshot
Adiabatic preparation without quantum phase transitions
inferredcites →https://doi.org/10.1103/physrevlett.101.170503openalex-snapshot
Size Dependence of the Minimum Excitation Gap in the Quantum Adiabatic Algorithm
inferredcites →https://doi.org/10.1103/physrevlett.79.325openalex-snapshot
Quantum Mechanics Helps in Searching for a Needle in a Haystack
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.95.105701openalex-snapshot
Dynamics of a Quantum Phase Transition
inferredcites →https://doi.org/10.1103/physrevlett.95.245701openalex-snapshot
Dynamics of a Quantum Phase Transition: Exact Solution of the Quantum Ising Model
inferredcites →https://doi.org/10.1103/physrevlett.95.250503openalex-snapshot
Adiabatic Quantum Computation in Open Systems
inferredcites →https://doi.org/10.1109/focs.2004.8openalex-snapshot
Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation
inferredcites →https://doi.org/10.1119/1.1463744openalex-snapshot
Quantum Computation and Quantum Information
inferredcites →https://doi.org/10.1126/science.1057726openalex-snapshot
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
inferredcites →https://doi.org/10.1137/1.9780898719628openalex-snapshot
ARPACK Users' Guide
inferredcites →https://doi.org/10.1137/s0097539705447323openalex-snapshot
Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation
inferredcites →https://doi.org/10.1142/s021974990800358xopenalex-snapshot
HOW TO MAKE THE QUANTUM ADIABATIC ALGORITHM FAIL
inferredcites →https://doi.org/10.1142/s0219749908003724openalex-snapshot
LIMITATIONS OF SOME SIMPLE ADIABATIC QUANTUM ALGORITHMS
inferredcites →https://doi.org/10.26421/qic2.3-1openalex-snapshot
Finding cliques by quantum adiabatic evolution
inferredcites →https://doi.org/10.26421/qic6.2-1openalex-snapshot
Quantum accuracy threshold for concatenated distance-3 code
inferredcites →https://doi.org/10.48550/arxiv.cs/0508037openalex-snapshot
The Phase Transition in Exact Cover
inferredcites →https://doi.org/10.48550/arxiv.quant-ph/0201031openalex-snapshot
Quantum Adiabatic Evolution Algorithms versus Simulated Annealing
inferredcites →https://doi.org/10.48550/arxiv.quant-ph/0208135openalex-snapshot
Quantum Adiabatic Evolution Algorithms with Different Paths

What points at this work

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

inferred← citeshttps://doi.org/10.1002/que2.59openalex-snapshot
Adiabatic quantum algorithm for factorization with growing minimum energy gap
inferred← citeshttps://doi.org/10.1007/s11128-016-1324-xopenalex-snapshot
Do multipartite correlations speed up adiabatic quantum computation or quantum annealing?
inferred← citeshttps://doi.org/10.1016/j.jocs.2024.102454openalex-snapshot
On the theory of quantum and towards practical computation: A review
inferred← citeshttps://doi.org/10.1038/srep43048openalex-snapshot
Prime factorization using quantum annealing and computational algebraic geometry
inferred← citeshttps://doi.org/10.1103/hj46-qw5topenalex-snapshot
Benchmark study of simulated quantum annealing and asynchronous parallel simulated annealing for quadratic unconstrained binary optimization-based semiprime factorization
inferred← citeshttps://doi.org/10.1103/physreva.106.052605openalex-snapshot
Basic elements for simulations of standard-model physics with quantum annealers: Multigrid and clock states
inferred← citeshttps://doi.org/10.1103/physreva.107.052401openalex-snapshot
Nonstoquastic catalyst for bifurcation-based quantum annealing of the ferromagnetic p -spin model
inferred← citeshttps://doi.org/10.1103/physreva.95.042321openalex-snapshot
Relation between quantum fluctuations and the performance enhancement of quantum annealing in a nonstoquastic Hamiltonian
inferred← citeshttps://doi.org/10.1103/physrevb.93.155153openalex-snapshot
Semiclassical excited-state signatures of quantum phase transitions in spin chains with variable-range interactions
inferred← citeshttps://doi.org/10.1103/physrevlett.108.130501openalex-snapshot
Quantum Factorization of 143 on a Dipolar-Coupling Nuclear Magnetic Resonance System
inferred← citeshttps://doi.org/10.1103/physrevlett.109.269902openalex-snapshot
Erratum: Quantum Factorization of 143 on a Dipolar-Coupling Nuclear Magnetic Resonance System [Phys. Rev. Lett.108, 130501 (2012)]
inferred← citeshttps://doi.org/10.1103/physrevx.6.031010openalex-snapshot
Tunneling and Speedup in Quantum Optimization for Permutation-Symmetric Problems
inferred← citeshttps://doi.org/10.1103/physrevx.8.031016openalex-snapshot
Demonstration of a Scaling Advantage for a Quantum Annealer over Simulated Annealing
inferred← citeshttps://doi.org/10.1103/revmodphys.90.015002openalex-snapshot
Adiabatic quantum computation
inferred← citeshttps://doi.org/10.1103/t78h-c9s3openalex-snapshot
Classical Non-Markovian Noise in Symmetry-Preserving Quantum Dynamics
inferred← citeshttps://doi.org/10.1109/comsnets63942.2025.10885675openalex-snapshot
Variational Quantum Factorization (VQF) using Different Variations of Quantum Approximate Optimization Algorithm (QAOA)
inferred← citeshttps://doi.org/10.1109/date.2010.5457217openalex-snapshot
Spinto: High-performance energy minimization in spin glasses
inferred← citeshttps://doi.org/10.1145/2629524openalex-snapshot
Cofactor Sharing for Reversible Logic Synthesis
inferred← citeshttps://doi.org/10.2200/s00585ed1v01y201407qmc008openalex-snapshot
Adiabatic Quantum Computation and Quantum Annealing: Theory and Practice
inferred← citeshttps://doi.org/10.26599/tst.2023.9010059openalex-snapshot
Deciphering a Million-Plus RSA Integer with Ultralow Local Field Coefficient h and Coupling Coefficient J of the Ising Model by D-Wave 2000Q
inferred← citeshttps://doi.org/10.48550/arxiv.0912.3912openalex-snapshot
High-performance Energy Minimization with Applications to Adiabatic Quantum Computing
inferred← citeshttps://doi.org/10.48550/arxiv.1408.1968openalex-snapshot
More period finding with adiabatic quantum computation
inferred← citeshttps://doi.org/10.48550/arxiv.1901.04405openalex-snapshot
Quadratization in discrete optimization and quantum mechanics
inferred← citeshttps://doi.org/10.5555/1870926.1870966openalex-snapshot
Spinto: high-performance energy minimization in spin glasses
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