Analog simulation of noisy quantum circuits
It is well known that simulating quantum circuits with low but nonzero hardware noise is more difficult than without noise. It requires either to perform density matrix simulations (coming with a space overhead) or to sample over “quantum trajectories” where Kraus operators are inserted randomly (co...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013213 |
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| Summary: | It is well known that simulating quantum circuits with low but nonzero hardware noise is more difficult than without noise. It requires either to perform density matrix simulations (coming with a space overhead) or to sample over “quantum trajectories” where Kraus operators are inserted randomly (coming with a runtime overhead). We propose a simulation technique based on a representation of hardware noise in terms of trajectories generated by operators that remain close to identity at low noise. We give explicit expressions for noise that can be represented by Pauli channels, as well as for certain non-Pauli channels. This representation significantly reduces the variance over the quantum trajectories, speeding up noisy simulations by factors around 10 to 100. As a by-product, we provide a formula to factorize generic Pauli channels into a concatenation of channels involving only one nontrivial Pauli string. |
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| ISSN: | 2643-1564 |