PMID- 38299625
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20240201
IS  - 1089-7690 (Electronic)
IS  - 0021-9606 (Linking)
VI  - 160
IP  - 5
DP  - 2024 Feb 7
TI  - Simulating the operation of a quantum computer in a dissipative environment.
LID - 054101 [pii]
LID - 10.1063/5.0185263 [doi]
AB  - The operations of current quantum computers are still significantly affected by 
      decoherence caused by interaction with the environment. In this work, we employ 
      the non-perturbative hierarchical equations of motion (HEOM) method to simulate 
      the operation of model quantum computers and reveal the effects of dissipation on 
      the entangled quantum states and on the performance of well-known quantum 
      algorithms. Multi-qubit entangled states in Shor's factorizing algorithm are 
      first generated and propagated using the HEOM. It is found that the failure of 
      factorization is accompanied by a loss of fidelity and mutual information. An 
      important challenge in using the HEOM to simulate quantum computers in a 
      dissipative environment is how to efficiently treat systems with many qubits. We 
      propose a two-dimensional tensor network scheme for this problem and demonstrate 
      its capability by simulating a one-dimensional random circuit model with 21 
      qubits.
CI  - (c) 2024 Author(s). Published under an exclusive license by AIP Publishing.
FAU - Zhang, Shuocang
AU  - Zhang S
AUID- ORCID: 0000-0003-1582-0645
AD  - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for 
      Structural Chemistry of Unstable and Stable Species, CAS Research/Education 
      Center for Excellence in Molecular Sciences, Institute of Chemistry, Chinese 
      Academy of Sciences, Zhongguancun, Beijing 100190, China.
AD  - University of Chinese Academy of Sciences, Beijing 100049, China.
FAU - Chen, Yinjia
AU  - Chen Y
AUID- ORCID: 0009-0004-0551-8674
AD  - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for 
      Structural Chemistry of Unstable and Stable Species, CAS Research/Education 
      Center for Excellence in Molecular Sciences, Institute of Chemistry, Chinese 
      Academy of Sciences, Zhongguancun, Beijing 100190, China.
AD  - University of Chinese Academy of Sciences, Beijing 100049, China.
FAU - Shi, Qiang
AU  - Shi Q
AUID- ORCID: 0000-0002-9046-2924
AD  - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for 
      Structural Chemistry of Unstable and Stable Species, CAS Research/Education 
      Center for Excellence in Molecular Sciences, Institute of Chemistry, Chinese 
      Academy of Sciences, Zhongguancun, Beijing 100190, China.
AD  - University of Chinese Academy of Sciences, Beijing 100049, China.
LA  - eng
PT  - Journal Article
PL  - United States
TA  - J Chem Phys
JT  - The Journal of chemical physics
JID - 0375360
SB  - IM
EDAT- 2024/02/01 12:42
MHDA- 2024/02/01 12:43
CRDT- 2024/02/01 08:45
PHST- 2023/10/30 00:00 [received]
PHST- 2024/01/09 00:00 [accepted]
PHST- 2024/02/01 12:43 [medline]
PHST- 2024/02/01 12:42 [pubmed]
PHST- 2024/02/01 08:45 [entrez]
AID - 3261416 [pii]
AID - 10.1063/5.0185263 [doi]
PST - ppublish
SO  - J Chem Phys. 2024 Feb 7;160(5):054101. doi: 10.1063/5.0185263.