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Paper 1

Generalized Quantum Deutsch-Jozsa Algorithm

Arodz T.

Year
2020
Journal
Computational Science – ICCS 202020th International Conference, Amsterdam, The Netherlands, June 3–5, 2020, Proceedings, Part VI
DOI
EuropePMC:PMC:PMC7304852
arXiv
-

No abstract.

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Paper 2

Trotterless Simulation of Open Quantum Systems for NISQ Quantum Devices

Colin Burdine, Enrique P. Blair

Year
2024
Journal
arXiv preprint
DOI
arXiv:2410.03854
arXiv
2410.03854

The simulation of quantum systems is one of the flagship applications of near-term NISQ (noisy intermediate-scale quantum) computing devices. Efficiently simulating the rich, non-unitary dynamics of open quantum systems remains challenging on NISQ hardware. Current simulation methods for open quantum systems employ time-stepped Trotter product formulas ("Trotterization") which can scale poorly with respect to the simulation time and system dimension. Here, we propose a new simulation method based on the derivation of a Kraus operator series representation of the system. We identify a class of open quantum systems for which this method produces circuits of time-independent depth, which may serve as a desirable alternative to Trotterization, especially on NISQ devices.

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