Mitigating errors by quantum verification and post-selection

arXiv:2109.14329 · quant-ph · Submitted 2021-09-29 · Read on arXiv

quant-ph

Submitted: 2021-09-29

Updated: 2022-05-14

Comments: 15 pages, 5 figures, 2 tables

Journal ref: Phys. Rev. A 105, 052608 (2022)

DOI: 10.1103/PhysRevA.105.052608

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Quantum Circuits — 13× in this paper · explained in 2 episodes
• Sample Complexity — 10× in this paper · explained in 15 episodes
• Fidelity — 8× in this paper · explained in 2 episodes
• Verification — 7× in this paper · explained in 2 episodes
• Post-Selection — 5× in this paper · explained in 2 episodes
• Controlled Z — 2× in this paper
• Accuracy — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Kullback-Leibler (KL) Divergence — 1× in this paper · explained in 3 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Variational Quantum Algorithms
• Demonstration of Shor encoding on a trapped-ion quantum computer
• Error mitigation with Clifford quantum-circuit data
• Neural Error Mitigation of Near-Term Quantum Simulations
• Exponential Error Suppression for Near-Term Quantum Devices
• Virtual Distillation for Quantum Error Mitigation
• Fundamental limits of quantum error mitigation
• Leveraging Randomized Compiling for the QITE Algorithm
• Mitigating depolarizing noise on quantum computers with noise-estimation circuits
• A Practical Quantum Instruction Set Architecture
• Error-Mitigated Quantum Metrology via Virtual Purification

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• A quasiparticle-protected superconducting qubit
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians