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Estimations of the errors between the evolving states generated by two Hamiltonians with the same initial state

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Time evolution of a quantum system is described by Schrödinger equation with initial pure state, or von Neumann equation with initial mixed state. In this paper, we estimate the error… Click to show full abstract

Time evolution of a quantum system is described by Schrödinger equation with initial pure state, or von Neumann equation with initial mixed state. In this paper, we estimate the error between the evolving states generated by two Hamiltonians with the same initial pure state. Secondly, according to the method of operator–vector correspondence, we give a relation of the Schrödinger equation and von Neumann equation and then estimate the error between the evolving states generated by two Hamiltonians with the same initial mixed state.

Keywords: state; hamiltonians initial; generated two; two hamiltonians; evolving states; states generated

Journal Title: Quantum Information Processing
Year Published: 2018

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