Time-bidirectional state formalism
Evgeniy O. Kiktenko1,2,3,4;
1Russian Quantum Center, Skolkovo, Moscow 121205, Russia;
2Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia;
3Geoelectromagnetic Research Center, Schmidt Institute of Physics of the Earth,
Russian Academy of Sciences, Troitsk, Russia;
4National University of Science and Technology “MISIS”, Moscow, Russia
Abstract
Postselection plays a crucial role in all major areas of quantum information technologies, namely quantum computing [1], quantum communication [2], and quantum metrology [3]. One way to describe experiments with postselection is the two-state vector formalism [4], which allows introducing the concept of weak values [5]. The report will consider a generalization of the two-vector formalism [6] to the case of open systems and arbitrary post-selection options described by an arbitrary positive operator-valued measure (POVM). Thus, a general approach will be presented, including post-selection with respect to the outcome of the projection measurement and the complete absence of post-selection as limiting special cases. We will consider the application of the developed formalism for studying the processes of quantum information transmission in existing quantum processors affected by noise.
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[2] L. Vaidman Phys. Rev. A 99, 052127 (2019).
[3] D.R.M. Arvidsson-Shukur, N. Y. Halpern, H. V. Lepage et al. Nat. Commun. 11, 1–7 (2020).
[4] Y. Aharonov, P. G. Bergmann, and J. L. Lebowitz, Phys. Rev. 134, B1410 (1964).
[5] Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
[6] E. Kiktenko, Phys. Rev. A 107, 032419 (2023).
Speaker
Evgeniy
Russian Quantum Center
Russia
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