Entangling protocols due to non-Markovian dynamics

Mirkin, Nicolás; Poggi, Pablo M.; Wisniacki, Diego A.

doi:10.1103/physreva.99.020301

Cited by 24 publications

(14 citation statements)

References 43 publications

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“…Memory effect, i.e., the temporary revival of previously leaked information, is one of the fascinating topics in this fields [1]. It is considered a signature of the non-Markovianity firstly [2][3][4][5][6][7][8][9][10], then became a vital method for manipulating quantum resources [7,8] such as entanglement [11][12][13][14][15][16], quantum interferometric power [17], temporal steering [18], quantum coherence, correlations [10], and quantum Fisher information (QFI) [9,19]. With the booming of technologies of control and manipulation open quantum systems [20][21][22][23][24][25][26][27][28], applications in ultracold atomic gases [24,25], quantum speed limit [29][30][31], algorithms [32,33], and thermal machines [34,35] are under intensive studies in recent years.…”

Section: Introductionmentioning

confidence: 99%

Measure of quantum Fisher information flow in multi-parameter scenario

Xing,

2021

Preprint

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We generalize the quantum Fisher information flow proposed by Lu et al. [Phys. Rev. A 82, 042103 (2010)] to the multi-parameter scenario from the information geometry perspective. A measure named the intrinsic density flow (IDF) is defined with the time-variation of the intrinsic density of quantum states (IDQS). IDQS measures the local distinguishability of quantum states in state manifolds. The validity of IDF is clarified with its vanishing under the parameter-independent unitary evolution and outward-flow (negativity) under the completely positive-divisible map. The temporary backflow (positivity) of IDF is thus an essential signature of the non-Markovian dynamics. Specific for the time-local master equation, the IDF decomposes according to the channels, and the positive decay rate indicates the inwards-flow of the sub-IDF. As time-dependent scalar fields equipped on the state space, the distribution of IDQS and IDF comprehensively illustrates the distortion of state space induced by its environment. As example, a typical qubit model is given.

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Section: Introductionmentioning

confidence: 99%

Measure of quantum Fisher information flow in multi-parameter scenario

Xing,

2021

Preprint

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“…In contrast, a memory environment will make the information flow back from the environment to the system, and this leads to non-Markovian dynamics. Non-Markovian dynamics has attracted a great deal of attention from researchers in both theoretical and experimental studies because of its important role in quantum state engineering, quantum control, and quantum information processing [ 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 , 67 , 68 , 69 , 70 , 71 , 72 , 73 , 74 , 75 , 76 , 77 , 78 , 79 , 80 , 81 , 82 ]. One important aspect of non-Markovian dynamics is its effect on the entanglement generation of the system’s quantum states.…”

Section: Introductionmentioning

confidence: 99%

Multipartite Entanglement Generation in a Structured Environment

Wang

San

Cheng

2020

Entropy

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In this paper, we investigate the entanglement generation of n-qubit states in a model consisting of n independent qubits, each coupled to a harmonic oscillator which is in turn coupled to a bath of N additional harmonic oscillators with nearest-neighbor coupling. With analysis, we can find that the steady multipartite entanglement with different values can be generated after a long-time evolution for different sizes of the quantum system. Under weak coupling between the system and the harmonic oscillator, multipartite entanglement can monotonically increase from zero to a stable value. Under strong coupling, multipartite entanglement generation shows a speed-up increase accompanied by some oscillations as non-Markovian behavior. Our results imply that the strong coupling between the harmonic oscillator and the N additional harmonic oscillators, and the large size of the additional oscillators will enhance non-Markovian dynamics and make it take a very long time for the entanglement to reach a stable value. Meanwhile, the couplings between the additional harmonic oscillators and the decay rate of additional harmonic oscillators have almost no effect on the multipartite entanglement generation. Finally, the entanglement generation of the additional harmonic oscillators is also discussed.

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“…However, in many solid-state devices and other systems this assumption breaks down [8][9][10][11][12] so one cannot use simple time-local density matrix equations of motion. In addition to non-Markovianity being common, it can be desirable [13][14][15][16][17][18][19][20][21][22][23][24]: it has been shown that non-Markovianity of open quantum systems can lead to higher fidelity of quantum operations due to the possible information backflow from the environment to the system. The simulation of general non-Markovian open quantum systems is, however, a computationally challenging task, which hampers progress on the design of optimal control procedures.…”

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confidence: 99%

Efficient Exploration of Hamiltonian Parameter Space for Optimal Control of Non-Markovian Open Quantum Systems

et al. 2021

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We present a general method to efficiently design optimal control sequences for non-Markovian open quantum systems, and illustrate it by optimizing the shape of a laser pulse to prepare a quantum dot in a specific state. The optimization of control procedures for quantum systems with strong coupling to structured environments-where time-local descriptions fail-is a computationally challenging task. We modify the numerically exact time evolving matrix product operator (TEMPO) method, such that it allows the repeated computation of the time evolution of the reduced system density matrix for various sets of control parameters at very low computational cost. This method is potentially useful for studying numerous optimal control problems, in particular in solid state quantum devices where the coupling to vibrational modes is typically strong.

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Entangling protocols due to non-Markovian dynamics

Cited by 24 publications

References 43 publications

Measure of quantum Fisher information flow in multi-parameter scenario

Measure of quantum Fisher information flow in multi-parameter scenario

Multipartite Entanglement Generation in a Structured Environment

Efficient Exploration of Hamiltonian Parameter Space for Optimal Control of Non-Markovian Open Quantum Systems

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