TY - JOUR

T1 - Universal Fidelity Reduction of Quantum Operations from Weak Dissipation

AU - Abad, Tahereh

AU - Fernández-Pendás, Jorge

AU - Frisk Kockum, Anton

AU - Johansson, Göran

N1 - Publisher Copyright:
© 2022 authors. Published by the American Physical Society.

PY - 2022/10/7

Y1 - 2022/10/7

N2 - Quantum information processing is in real systems often limited by dissipation, stemming from remaining uncontrolled interaction with microscopic degrees of freedom. Given recent experimental progress, we consider weak dissipation, resulting in a small error probability per operation. Here, we find a simple formula for the fidelity reduction of any desired quantum operation, where the ideal evolution is confined to the computational subspace. Interestingly, this reduction is independent of the specific operation; it depends only on the operation time and the dissipation. Using our formula, we investigate the situation where dissipation in different parts of the system has correlations, which is detrimental for the successful application of quantum error correction. Surprisingly, we find that a large class of correlations gives the same fidelity reduction as uncorrelated dissipation of similar strength.

AB - Quantum information processing is in real systems often limited by dissipation, stemming from remaining uncontrolled interaction with microscopic degrees of freedom. Given recent experimental progress, we consider weak dissipation, resulting in a small error probability per operation. Here, we find a simple formula for the fidelity reduction of any desired quantum operation, where the ideal evolution is confined to the computational subspace. Interestingly, this reduction is independent of the specific operation; it depends only on the operation time and the dissipation. Using our formula, we investigate the situation where dissipation in different parts of the system has correlations, which is detrimental for the successful application of quantum error correction. Surprisingly, we find that a large class of correlations gives the same fidelity reduction as uncorrelated dissipation of similar strength.

UR - http://www.scopus.com/inward/record.url?scp=85140140542&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.129.150504

DO - 10.1103/PhysRevLett.129.150504

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C2 - 36269966

AN - SCOPUS:85140140542

SN - 0031-9007

VL - 129

JO - Physical Review Letters

JF - Physical Review Letters

IS - 15

M1 - 150504

ER -