Circuit symmetry verification mitigates quantum-domain impairments
Circuit symmetry verification mitigates quantum-domain impairments
State-of-the-art noisy intermediate-scale quantum computers require low-complexity techniques for the mitigation of computational errors inflicted by quantum decoherence. Symmetry verification constitutes a class of quantum error mitigation (QEM) techniques, which distinguishes erroneous computational results from the correct ones by exploiting the intrinsic symmetry of the computational tasks themselves. Inspired by the benefits of quantum switch in the quantum communication theory, we propose beneficial techniques for circuit-oriented symmetry verification that are capable of verifying the commutativity of quantum circuits without the knowledge of the quantum state. In particular, we propose the spatio-temporal stabilizer (STS) technique, which generalizes the conventional quantumdomain stabilizer formalism to circuit-oriented stabilizers. The applicability and implementational strategies of the proposed techniques are demonstrated by using practical quantum algorithms, including the quantum Fourier transform (QFT) and the quantum approximate optimization algorithm (QAOA).
Circuit-oriented symmetry verification, Integrated circuit modeling, Logic gates, Quantum circuit, Quantum state, Qubit, Switches, Task analysis, quantum error mitigation, quantum switch, spatio-temporal stabilizer, symmetry verification, variational quantum algorithms
477 - 493
Xiong, Yifeng
34602fe3-e197-4176-944d-99009d7bf9ee
Chandra, Daryus
a2f091a8-9772-4633-8e3b-d3220b10a2ec
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
17 February 2023
Xiong, Yifeng
34602fe3-e197-4176-944d-99009d7bf9ee
Chandra, Daryus
a2f091a8-9772-4633-8e3b-d3220b10a2ec
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Xiong, Yifeng, Chandra, Daryus, Ng, Soon Xin and Hanzo, Lajos
(2023)
Circuit symmetry verification mitigates quantum-domain impairments.
IEEE Transactions on Signal Processing, 71, .
(doi:10.1109/TSP.2023.3244666).
Abstract
State-of-the-art noisy intermediate-scale quantum computers require low-complexity techniques for the mitigation of computational errors inflicted by quantum decoherence. Symmetry verification constitutes a class of quantum error mitigation (QEM) techniques, which distinguishes erroneous computational results from the correct ones by exploiting the intrinsic symmetry of the computational tasks themselves. Inspired by the benefits of quantum switch in the quantum communication theory, we propose beneficial techniques for circuit-oriented symmetry verification that are capable of verifying the commutativity of quantum circuits without the knowledge of the quantum state. In particular, we propose the spatio-temporal stabilizer (STS) technique, which generalizes the conventional quantumdomain stabilizer formalism to circuit-oriented stabilizers. The applicability and implementational strategies of the proposed techniques are demonstrated by using practical quantum algorithms, including the quantum Fourier transform (QFT) and the quantum approximate optimization algorithm (QAOA).
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e-pub ahead of print date: 17 February 2023
Published date: 17 February 2023
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Publisher Copyright:
© 1991-2012 IEEE.
Keywords:
Circuit-oriented symmetry verification, Integrated circuit modeling, Logic gates, Quantum circuit, Quantum state, Qubit, Switches, Task analysis, quantum error mitigation, quantum switch, spatio-temporal stabilizer, symmetry verification, variational quantum algorithms
Identifiers
Local EPrints ID: 475370
URI: http://eprints.soton.ac.uk/id/eprint/475370
ISSN: 1053-587X
PURE UUID: 8d901874-01df-40e6-89db-cfa516afb46e
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Date deposited: 16 Mar 2023 17:56
Last modified: 18 Mar 2024 02:48
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