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| Presentation | 2021-03-08 14:45 Classically Simulating Quantum Circuits with Local Depolarizing Noise Yasuhiro Takahashi, Yuki Takeuchi, Seiichiro Tani (NTT)  COMP2020-33 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We study the effect of noise on the classical simulatability of quantum circuits defined by computationally tractable (CT) states and efficiently computable sparse (ECS) operations. Examples of such circuits, which we call CT-ECS circuits, are IQP, Clifford Magic, and conjugated Clifford circuits. This means that there exist various CT-ECS circuits such that their output probability distributions are anti-concentrated and not classically simulatable in the noise-free setting (under plausible assumptions). First, we consider a noise model where a depolarizing channel with an arbitrarily small constant rate is applied to each qubit at the end of computation. We show that, under this noise model, if an approximate value of the noise rate is known, any CT-ECS circuit with an anti-concentrated output probability distribution is classically simulatable. This indicates that the presence of small noise drastically affects the classical simulatability of CT-ECS circuits. Then, we consider an extension of the noise model where the noise rate can vary with each qubit, and provide a similar sufficient condition for classically simulating CT-ECS circuits with anti-concentrated output probability distributions. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | quantum computing / quantum circuit / classical simulation / local depolarizing noise / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 120, no. 426, COMP2020-33, pp. 26-29, March 2021. | |
| Paper # | COMP2020-33 | |
| Date of Issue | 2021-03-01 (COMP) | |
| ISSN | Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | COMP2020-33 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2021-03-08 - 2021-03-08 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2021-03-COMP |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Classically Simulating Quantum Circuits with Local Depolarizing Noise |
| Sub Title (in English) | |
| Keyword(1) | quantum computing |
| Keyword(2) | quantum circuit |
| Keyword(3) | classical simulation |
| Keyword(4) | local depolarizing noise |
| Keyword(5) | |
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| 1st Author's Name | Yasuhiro Takahashi |
| 1st Author's Affiliation | NTT (NTT) |
| 2nd Author's Name | Yuki Takeuchi |
| 2nd Author's Affiliation | NTT (NTT) |
| 3rd Author's Name | Seiichiro Tani |
| 3rd Author's Affiliation | NTT (NTT) |
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| Speaker | Author-1 |
| Date Time | 2021-03-08 14:45:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2020-33 |
| Volume (vol) | vol.120 |
| Number (no) | no.426 |
| Page | pp.26-29 |
| #Pages | 4 |
| Date of Issue | 2021-03-01 (COMP) |
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