Probabilistic storage and retrieval of qubit phase gates
Authors | |
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Year of publication | 2020 |
Type | Article in Periodical |
Magazine / Source | Physical Review A |
MU Faculty or unit | |
Citation | |
Web | https://doi.org/10.1103/PhysRevA.102.032618 |
Doi | http://dx.doi.org/10.1103/PhysRevA.102.032618 |
Keywords | quantum technologies; quantum information |
Attached files | |
Description | Probabilistic storage and retrieval (PSR) of unitary quantum dynamics is possible with exponentially small failure probability with respect to the number of systems used as a quantum memory [M. Sedlák, A. Bisio, and M. Ziman, Phys. Rev. Lett. 122, 170502 (2019)]. Here we study improvements due to a priori knowledge about the unitary transformation to be stored. In particular, we study N-->1 PSR of qubit phase gates, i.e., qubit rotations around the Z axis with an unknown angle, and show that if we access the gate only N times the optimal probability of perfect retrieving of its single use is N/(N+1). We propose a quantum circuit realization for the optimal protocol and show that a programmable phase gate [G. Vidal, L. Masanes, and J. I. Cirac, Phys. Rev. Lett. 88, 047905 (2002)] can be turned into a (2k-1)-->1 optimal PSR of phase gates and requires only k controlled-not gates, while having exponentially small failure probability in k. |
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