A1 Refereed original research article in a scientific journal
Interaction Independent Quantum Probing
Authors: Sarbicki G, Tukiainen M, Lyyra H, Maniscalco S
Publisher: POLISH ACAD SCIENCES INST PHYSICS
Publication year: 2017
Journal: Acta Physica Polonica A
Journal name in source: ACTA PHYSICA POLONICA A
Journal acronym: ACTA PHYS POL A
Volume: 132
Issue: 1
First page : 103
Last page: 105
Number of pages: 3
ISSN: 0587-4246
eISSN: 1898-794X
DOI: https://doi.org/10.12693/APhysPolA.132.103
Abstract
For an open quantum system we assume that we are able to set the system's environment temperature. We fix the time interval and let the system (further referred as the probing system) to evolve during this time in two different temperatures. We make a process tomography of the resulting dynamics (quantum channels epsilon(1), epsilon(2) related to the temperatures T-1 and T-2 respectively). We calculate then the values of alpha-fidelities for the pair of channels. We derive an inequality between the experimental data and the partition function of environment (hence the spectrum of the environment). If the inequality is not satisfied, it implies that our assumption about the spectrum of the environment is wrong. Notice that there is no dependence on the interaction terms neither on the Hamiltonian of the probing system. We show the power of this method in the following example. Consider a two-level atom passing the one-mode vacuum. We do not know the Hamiltonian of the atom (the probing system) neither the interaction mechanism. We would like to determine the frequency of the vacuum. We will show that wide range of frequencies are forbidden by the inequality.
For an open quantum system we assume that we are able to set the system's environment temperature. We fix the time interval and let the system (further referred as the probing system) to evolve during this time in two different temperatures. We make a process tomography of the resulting dynamics (quantum channels epsilon(1), epsilon(2) related to the temperatures T-1 and T-2 respectively). We calculate then the values of alpha-fidelities for the pair of channels. We derive an inequality between the experimental data and the partition function of environment (hence the spectrum of the environment). If the inequality is not satisfied, it implies that our assumption about the spectrum of the environment is wrong. Notice that there is no dependence on the interaction terms neither on the Hamiltonian of the probing system. We show the power of this method in the following example. Consider a two-level atom passing the one-mode vacuum. We do not know the Hamiltonian of the atom (the probing system) neither the interaction mechanism. We would like to determine the frequency of the vacuum. We will show that wide range of frequencies are forbidden by the inequality.
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