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- W4302306414 abstract "Here we present the two-time tensor formalism unifying in a general manner the standard quantum mechanical formalism with no postselection and the time-symmetrized two-state (density) vector formalism, which deals with postselected states. In the proposed approach, a quantum particle's state, called a two-time tensor, is equivalent to a joined state of two particles propagating in opposite time directions. For a general two-time tensor, we derive outcome probabilities of generalized measurements, as well as mean and weak values of Hermitian observables. We also show how the obtained expressions reduce to known ones in the special cases of no postselection and generalized two-state (density) vectors. Then we develop tomography protocols based on mutually unbiased bases (MUB) and symmetric informationally complete positive operator-valued measure (SIC-POVM), allowing experimental reconstruction of an unknown single qubit two-time tensor. Finally, we employ the developed techniques for experimental tracking of qubit's time-reversal journey in a quantum teleportation protocol realized with a cloud accessible noisy superconducting quantum processor. The obtained results justify an existence of postselection-induced qubit's proper time-arrow, which is different from the time-arrow of a classical observer, and demonstrate capabilities of the two-time tensor formalism for exploring quantum phenomena brought forth by a postselection in the presence of noise." @default.
- W4302306414 created "2022-10-06" @default.
- W4302306414 creator A5033682739 @default.
- W4302306414 date "2022-10-03" @default.
- W4302306414 modified "2023-09-27" @default.
- W4302306414 title "Exploring postselection-induced quantum phenomena with the two-time tensor formalism" @default.
- W4302306414 doi "https://doi.org/10.48550/arxiv.2210.01583" @default.
- W4302306414 hasPublicationYear "2022" @default.
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