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arXiv:2008.10836 · Physical Review A

Maximal-steered-coherence protection by quantum reservoir engineering

Yusef Maleki, Bahram Ahansaz

Published Aug 17, 2020• 29 citations
arXivHTMLPDF

Abstract

We show that the effects of decoherence on quantum steering ellipsoids can be controlled by a specific reservoir manipulating, in both Markovian and non-Markovian realms. Therefore, the so-called maximal steered coherence could be protected through reservoir engineering implemented by coupling auxiliary qubits to the reservoir.
DOI
10.1103/physreva.102.020402

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Abstract Maximal steered coherence (MSC) is a noteworthy resource measure in the field of quantum information, and it is defined under the framework of coherence measure and the formalism of quantum steering ellipsoids (QSEs). Here, we explore the MSC of a two-qubit X state under the common influences of reservoir and noise. The results disclose that the introduction of auxiliary qubits can give rise to enhancement of the MSC in both the strong and weak coupling regimes. Moreover, more auxiliary qubits can decrease the oscillation period of the MSC, and also suppress the oscillation amplitude of the MSC in the strong coupling regime. In contrast, the increases in auxiliary qubits result in the oscillation of the MSC for the setting of the initially weak coupling regime. Of particular interest is that the improvement effects of more auxiliary qubits on the MSC in the initially weak coupling regime are significantly stronger than that in the initially strong coupling regime.
We propose a general approach of protecting a two-level system against decoherence via quantum engineering of non-classical multiple superpositions of coherent states in a non-Markovian reservoir. The scheme surprisingly only uses the system-environment interaction responsible for the decoherence and projective measurements of the two-level system. We demonstrate the method on the example of an excitonic qubit in self-assembled semiconductor quantum dots coupled to the super-Ohmic reservoir of acoustic phonons.
Abstract The remote control of coherence is a crucial step for its application in quantum computation. The maximal steered coherence (MSC) and its conversion to entanglement in multiple bosonic reservoirs are investigated. It is shown that the MSC decays with time in the Markovian regime and behaves as damped oscillations in the non‐Markovian regime. The MSC can also be connected directly to the strength of non‐Markovianity, through which it is shown that it can be noticeably enhanced by taking full advantage of the non‐Markovian effects. Besides, the MSC can be converted completely to entanglement via optimal incoherent operation applied to the steered qubit and an incoherent ancilla which is immune to decoherence, and the generated entanglement is stronger than the shared entanglement in prior. These findings suggest a potential way for remotely generating and manipulating coherence and entanglement in noisy environments.
We evaluate exactly the non-Markovian effect on the decoherence dynamics of a qubit interacting with a dissipative vacuum reservoir and find that the coherence of the qubit can be partially trapped in the steady state when the memory effect of the reservoir is considered. Our analysis shows that it is the formation of a bound state between the qubit and its reservoir that results in this residual coherence in the steady state under the non-Markovian dynamics. A physical condition for the decoherence suppression is given explicitly. Our results suggest a potential way to decoherence control by modifying the system–reservoir interaction and the spectrum of the reservoir to the non-Markovian regime in the scenario of reservoir engineering.
Quantum steering in a system consisting of a qubit coupled to a single-mode field is explored when classical-like measurements implemented by heterodyne detection schemes that collapse the state of the field on to a coherent state is considered. The quantum steering ellipsoid of the qubit is constructed to visualize the set of states on to which it can be steered using such measurements. In some cases, the steering set does not form an ellipsoid since only heterodyne detection is considered. Evolution of the steering ellipsoid corresponding to joint evolution of the qubit and field under the Jaynes-Cummins hamiltonian is also studied.