Phase Covariant Channel: Quantum Speed Limit of Evolution

Riya, Baruah,; Paulson, K. G.; Banerjee, Subhashish

doi:10.1002/andp.202200199

Cited by 6 publications

(6 citation statements)

References 53 publications

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“…The trade-off between the mixedness and coherence for two-qubit states under pure dephasing and dissipative processes is analyzed using equations (18) and (23). The behaviour of τ QSL on the complementarity between mixedness and coherence is significant under dissipative The parametric trajectory of quantum speed limit time as a function of M Cl is depicted for maximally entangled Bell states for the dissipative process (NMAD).…”

Section: Multi-qubit System: Coherence Mixedness and Distinguishabiltymentioning

confidence: 99%

“…These cases bring out the need for detailed investigations of quantum systems in non-Markovian environments. In this context, it would be of interest to note that there are a number of interesting works in the literature on the intersection of quantum speed limit time, non-Markovian physics and quantum technologies [15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

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Quantum speed limit time: role of coherence

Paulson¹,

Banerjee²

2022

J. Phys. A: Math. Theor.

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The minimum evolution time between multi-qubit quantum states is estimated for non-Markovian quantum channels. We consider the maximally coherent pure and mixed states as well as multi-qubit $X$ states as initial states and discuss the impact of initial coherence and the behaviour of coherence on their speed of evolution for both dephasing and dissipative processes. The role of the non-zero value of initial coherence under information backflow conditions for the non-unital dissipative process is revealed by the flow of quantum speed limit time ($\tau_{QSL}$). The trade-off between mixedness and coherence on the speed limit time reveals the nature of the quantum process the states undergo. The complementarity effect between mixedness and coherence is more prominent in the quantum non-unital dissipation process. The parametric trajectory of speed limit time vividly depicts the difference in the evolution of pure and mixed initial states, and this could be used to distinguish between the unital and non-unital channels studied in this work. Our investigation of quantum speed limit time on multi-qubit entangled $X$ states reveals that $\tau_{QSL}$ can be identified as a potential dynamical witness to distinguish multi-qubit states in the course of evolution.

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Section: Multi-qubit System: Coherence Mixedness and Distinguishabiltymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum speed limit time: role of coherence

Paulson¹,

Banerjee²

2022

J. Phys. A: Math. Theor.

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“…The associated dynamical equations were later derived microscopically for a weakly-coupled spin-boson model under the secular approximation [24]. Phase-covariant maps were applied in the contexts of quantum speed evolution [25], non-Markovianity of quantum evolution [26], quantum optics [27,28], and quantum metrology [29]. They play a substantial role in the description of phase covariant devices [30] and quantum cloning machines [31].…”

Section: Introductionmentioning

confidence: 99%

Adjusting phase-covariant qubit channel performance with non-unitality

Siudzińska

Studziński

2023

J. Phys. A: Math. Theor.

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We analyze quantum communication properties of phase-covariant channels depending on their degree of non-unitality. In particular, we derive analytical formulas for minimal and maximal channel fidelity on pure states and maximal output purity. Next, we introduce a measure of non-unitality and show how to manipulate between unital and maximally non-unital maps by considering classical mixtures of quantum channels. Finally, we prove that maximal fidelity and maximal output purity increase with non-unitality and present several examples. Interestingly, non-unitality can also prolong quantum entanglement and lead to its rebirth.

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“…[37] Furthermore, the speed limit for driven quantum systems that are valid for arbitrary initial and final states, as well as for arbitrary unitary driving, was derived. [38] QSL time for the evolution between arbitrary states in open quantum systems finds many potential applications [39][40][41][42] in the field of quantum information and computation and is an active research topic. [43][44][45] In general, comprehending the subtlety of the environment's impact on the quantum system is a non-trivial task.…”

Section: Introductionmentioning

confidence: 99%

Quantum Correlations and Speed Limit of Central Spin Systems

2023

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In this article, single, and two‐qubit central spin systems interacting with spin baths are considered and their dynamical properties are discussed. The cases of interacting and non‐interacting spin baths are considered and the quantum speed limit (QSL) time of evolution is investigated. The impact of the size of the spin bath on the quantum speed limit for a single qubit central spin model is analyzed. The quantum correlations for (non‐)interacting two central spin qubits are estimated and their dynamical behavior with that of QSL time under various conditions are compared. How QSL time could be availed to analyze the dynamics of quantum correlations is shown.

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Phase Covariant Channel: Quantum Speed Limit of Evolution

Cited by 6 publications

References 53 publications

Quantum speed limit time: role of coherence

Quantum speed limit time: role of coherence

Adjusting phase-covariant qubit channel performance with non-unitality

Quantum Correlations and Speed Limit of Central Spin Systems

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