Impossibility of cloning of quantum coherence

Patel, Dhrumil; Patro, Subhasree; Vanarasa, Chiranjeevi; Chakrabarty, Indranil; Pati, Arun Kumar

doi:10.1103/physreva.103.022422

“…For example, in the QRTs of quantum coherence, researchers proposed multiple measures [15][16][17][18][19][20][21] and operational interpretations. [22][23][24][25][26] It has shown that quantum coherence closely correlated with other quantum features like quantum entanglement, [2][3][4] quantum discord, [5][6][7][8][9] quantum asymmetric, [27][28][29] et al…”

Section: Introductionmentioning

confidence: 99%

Quantum dynamical resource theory under resource non-increasing framework

Yang¹,

Yu²

2023

Chinese Phys. B

0

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We define the resource non-increasing (RNI) framework to study the dynamical resource theory. With such a definition, we propose several potential quantification candidates under various free operation sets. For explicit demonstrations, we quantify the quantum dynamical coherence in the scenarios with and without post-selective measurements. Correspondingly, we show that maximally incoherent operations (MIO) and incoherent operations (IO) in the static coherence resource theory are free in the sense of dynamical coherence. We also provide operational meanings for the measures by the quantum discrimination tasks. Moreover, for the dynamical total coherence, we also present convenient measures and give the analytic calculation for the amplitude damping channel.

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“…Such a framework for static resources is quite rigorous, and could even develop a connection to different areas. For example, in the QRTs of quantum coherence, researchers proposed multiple measures [14][15][16][17][18][19][20] and operational interpretations [21][22][23][24][25]. It has been shown that quantum coherence closely correlated with other quantum features like quantum entanglement [?, 2, 3], quantum discord [4][5][6][7][8], quantum asymmetric [26][27][28] et al…”

Section: Introductionmentioning

confidence: 99%

Quantum Dynamical Resource Theory under Resource Non-increasing Framework

Yang¹,

Yu²

2022

Preprint

0

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We define the resource non-increasing (RNI) framework to study the dynamical resource theory. With such a definition, we propose several potential quantification candidates under various free operation sets. For explicit demonstrations, we quantify the quantum dynamical coherence in the scenarios with and without post-selective measurements. Correspondingly, we show that maximally incoherent operations (MIO) and incoherent operations (IO) in the static coherence resource theory are free in the sense of dynamical coherence. We also provide operational meanings for the measures by the quantum discrimination tasks. Moreover, for the dynamical total coherence, we also present convenient measures and give the analytic calculation for the amplitude damping channel.

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“…In addition, the non-repeatability of quantum properties in quantum systems or their behaviours under cloning operations attracted the attentions of researchers in recent years. For instance, it has been shown that, there does not exist any operation which can perfectly clones entanglement and simultaneously preserves separability [14], and it is impossible to clone the coherence of an arbitrary quantum state [15].…”

Section: Introductionmentioning

confidence: 99%

Quantum cloning of steering

Zhu,

Shang,

Zhang

et al. 2022

Preprint

0

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The property of steering in a global state allows an observer to affect the postmeasured states of a subsystem by performing different local measurements on the other part. We show that, in general, this property cannot be perfectly cloned by any joint operation between a steered subsystem and a third system. The perfect cloning is viable if and only if the initial state is of zero-discord. We also investigate the process of cloning the steered qubit of a Bell state by using a universal cloning machine. The quantum steering, as a type of quantum correlation existing in the states without a local-hidden-state model, can be found in both of the copy subsystems. This breaks the recent conclusion of no-cloning of quantum steering in [npj Quantum Inf. 2, 16020 (2016)] based on a mutual information criterion for quantum steering.

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Impossibility of cloning of quantum coherence

Cited by 8 publications

References 41 publications

Quantum dynamical resource theory under resource non-increasing framework

Quantum dynamical resource theory under resource non-increasing framework

Quantum Dynamical Resource Theory under Resource Non-increasing Framework

Quantum cloning of steering

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