Quantum error cancellation in photonic systems: undoing photon losses
File(s)PhysRevA.110.022622.pdf (2.66 MB)
Published version
Author(s)
Taylor, Adam
Bressanini, Gabriele
Kwon, Hyukjoon
Kim, MS
Type
Journal Article
Abstract
Real photonic devices are subject to photon losses that can decohere quantum information encoded in the system. In the absence of full fault tolerance, quantum error mitigation techniques have been introduced to help manage errors in noisy quantum devices. In this paper, we introduce an error mitigation protocol inspired by probabilistic error cancellation (a popular error mitigation technique in discrete variable systems) for continuous variable systems. We show that our quantum error cancellation protocol can undo photon losses in expectation value estimation tasks. To do this, we analytically derive the (nonphysical) inverse photon loss channel and decompose it into a sum over physically realizable channels with potentially negative coefficients. The bias of our ideal expectation value estimator can be made arbitrarily small at the cost of increasing the sampling overhead. The protocol requires a noiseless amplification followed by a series of photon subtractions. While these operations can be implemented probabilistically, for certain classes of initial state one can avoid the burden of carrying out the amplification and photon subtractions by leveraging Monte Carlo methods to give an unbiased estimate of the ideal expectation value. We validate our proposed mitigation protocol by simulating the scheme on squeezed vacuum states, cat states, and entangled coherent states.
Date Issued
2024-08
Date Acceptance
2024-07-30
Citation
Physical Review A, 2024, 110 (2)
ISSN
2469-9926
Publisher
American Physical Society
Journal / Book Title
Physical Review A
Volume
110
Issue
2
Copyright Statement
Published by the American Physical Society Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
License URL
Identifier
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.110.022622
Subjects
Optics
Physical Sciences
Physics
Physics, Atomic, Molecular & Chemical
Science & Technology
Publication Status
Published
Article Number
022622
Date Publish Online
2024-08-27