Controllability properties for finite dimensional quantum Markovian master equations

Altafini, Claudio

doi:10.1063/1.1571221

Cited by 149 publications

(162 citation statements)

References 19 publications

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“…To our knowledge, this is the first instance of open quantum system control through the bath parameters, and not via the subsystem Hamiltonian [22,23]. This approach, which might prove very fruitful in the field of quantum information, is still in a very preliminary stage; further developments are presently under study and will be reported elsewhere.…”

Section: Environment Induced Entanglement Generationmentioning

confidence: 99%

Controlling entanglement generation in external quantum fields

Benatti¹,

Floreanini²

2005

J. Opt. B: Quantum Semiclass. Opt.

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Two, non-interacting two-level atoms immersed in a common bath can become mutually entangled when evolving with a Markovian, completely positive dynamics. For an environment made of external quantum fields, this phenomenon can be studied in detail: one finds that entanglement production can be controlled by varying the bath temperature and the distance between the atoms. Remarkably, in certain circumstances, the quantum correlations can persist in the asymptotic long-time regime.

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Section: Environment Induced Entanglement Generationmentioning

confidence: 99%

Controlling entanglement generation in external quantum fields

Benatti¹,

Floreanini²

2005

J. Opt. B: Quantum Semiclass. Opt.

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“…[50,51]. Considering the inner product X, Y = tr(X † Y ), we can find the following matrix basis for all two-qubit matrices:…”

Section: Appendix A: Derivation Of the Maximum Concurrence And Fidelitymentioning

confidence: 99%

Generating stationary entangled states in superconducting qubits

Zhang

Liu

et al. 2009

Phys. Rev. A

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When a two-qubit system is initially maximally-entangled, two independent decoherence channels, one per qubit, would greatly reduce the entanglement of the two-qubit system when it reaches its stationary state. We propose a method on how to minimize such a loss of entanglement in open quantum systems. We find that the quantum entanglement of general two-qubit systems with controllable parameters can be protected by tuning both the single-qubit parameters and the twoqubit coupling strengths. Indeed, the maximum fidelity Fmax between the stationary entangled state, ρ∞, and the maximally-entangled state, ρm, can be about 2/3 ≈ max{tr(ρ∞ρm)} = Fmax, corresponding to a maximum stationary concurrence, Cmax, of about 1/3 ≈ C(ρ∞) = Cmax. This is significant because the quantum entanglement of the two-qubit system can be protected, even for a long time. We apply our proposal to several types of two-qubit superconducting circuits, and show how the entanglement of these two-qubit circuits can be optimized by varying experimentallycontrollable parameters.

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“…The corresponding models are called coherent control methods as the controls enter the coherent part of the dynamics, and their properties have been widely investigated. In particular, it has been proven that quantum states cannot be purified by using coherent control, both in closed and open systems dynamics, whether the controls are fixed at the beginning [11,12]. To overcome this difficulty, several solutions have been proposed, as the use of an indirect measurement, performed on the system.…”

mentioning

confidence: 99%

Resonant purification of mixed states for closed and open quantum systems

Romano¹

2007

Phys. Rev. A

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Pure states are fundamental for the implementation of quantum technologies, and several methods for the purification of the state of a quantum system S have been developed in the past years. In this letter we present a new approach, based on the interaction of S with an auxiliary system P , having a wide range of applicability. Considering two-level systems S and P and assuming a particular interaction between them, we prove that complete purifications can be obtained under suitable conditions on the parameters characterizing P . Using analytical and numerical tools, we show that the purification process exhibits a resonant behavior in both the cases of system isolated from the external environment or not.

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Controllability properties for finite dimensional quantum Markovian master equations

Cited by 149 publications

References 19 publications

Controlling entanglement generation in external quantum fields

Controlling entanglement generation in external quantum fields

Generating stationary entangled states in superconducting qubits

Resonant purification of mixed states for closed and open quantum systems

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