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- W4385853114 abstract "Abstract Recent progress in quantum simulation and algorithms has demonstrated a rapid expansion in capabilities. The search continues for new techniques and applications to exploit quantum advantage. Here we propose an innovative method to investigate directly the properties of a time-dependent density operator <?CDATA $hat{rho} (t)$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mover> <mml:mi>ρ</mml:mi> <mml:mo stretchy=false>ˆ</mml:mo> </mml:mover> <mml:mo stretchy=false>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:math> . Using quantum commutation simulators, we can directly compute the expectation value of the commutation relation and thus of the rate of change of <?CDATA $hat{rho} (t)$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mover> <mml:mi>ρ</mml:mi> <mml:mo stretchy=false>ˆ</mml:mo> </mml:mover> <mml:mo stretchy=false>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:math> . The approach can be utilized as a quantum eigen-vector solver for the von Neumann equation and a decoherence investigator for the Lindblad equation, by using just the statistics of single-qubit measurements. A simple but important example is demonstrated in the single-qubit case and we discuss extension of the method for practical quantum simulation with many qubits, towards investigation of more realistic quantum systems." @default.
- W4385853114 created "2023-08-17" @default.
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- W4385853114 date "2023-08-01" @default.
- W4385853114 modified "2023-09-27" @default.
- W4385853114 title "Commutation simulator for open quantum dynamics" @default.
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- W4385853114 doi "https://doi.org/10.1088/1367-2630/acf0e1" @default.
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