Publisher's Note: Complementarity of quantum correlations in cloning and deleting of quantum states [Phys. Rev. A 91, 062311 (2015)]

Sazim, Sk; Chakrabarty, Indranil; Dutta, Annwesha; Pati, Arun Kumar

doi:10.1103/physreva.94.019906

Cited by 4 publications

(11 citation statements)

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“…Again in 2003, Ghiu et al showed that entanglement is optimally broadcast and maximal fidelities of the two final entangled states are obtained only when symmetric cloning machines are applied [34]. So by combining the above two results by Sazim et al and Ghiu et al, we can logically infer that even asymmetric Pauli cloning machines will be unable to broadcast QCsbE optimally since for those also the local outputs will always possess non-vanishing GD [14,34]. This enables us to comprehensively conclude that optimal broadcasting of QCsbE for any two qubit state via cloning operations is impossible.…”

Section: Broadcasting Of Correlations Using Buzek-hillery (B-h) Nonlomentioning

confidence: 92%

Broadcasting of quantum correlations: Possibilities and impossibilities

2016

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In this work, we extensively study the problem of broadcasting of quantum correlations (QCs). This includes broadcasting of quantum entanglement as well as correlations that go beyond the notion of entanglement (QCsbE). It is quite well known from the "No-Broadcasting theorem" that perfect broadcasting of QCs is not possible. However it does not rule out the possibility of partial broadcasting of QCs where we can get lesser correlated states from a given correlated state. In order to have a holistic view of broadcasting, we investigate this problem by starting with most general representation of two qubit mixed states in terms of the Bloch vectors. As a cloning transformation we have used universal symmetric optimal Buzek-Hillery (B-H) cloner both locally and nonlocally. Unlike entanglement, we find that it is impossible to broadcast QCsbE optimally. Lastly, we generalize these results for any symmetric or asymmetric cloning machines as well. This result brings out a fundamental difference between the correlations defined from the perspective of entanglement and the correlations measure which claims to go beyond entanglement.

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Section: Broadcasting Of Correlations Using Buzek-hillery (B-h) Nonlomentioning

confidence: 92%

Broadcasting of quantum correlations: Possibilities and impossibilities

2016

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“…The concatenation of deletion and cloning machines indicates the quantum correlation complementarity [13]. It is shown in [13] that the amount of correlation created by the cloning process is complementary to the correlation created in the deletion process.…”

Section: Quantum Correlationmentioning

confidence: 99%

“…Entanglement of the pure bipartite system can be quantified by entanglement of formation [10,11] and concurrence [12]. It is shown in [13] that concatenation of deleting and cloning machines lead to the complementarity relation. Complementarity is a fundamental aspect of the quantum world that is exhibited in the dual physical nature of quantum particles.…”

Section: Introductionmentioning

confidence: 99%

“…Complementarity is a fundamental aspect of the quantum world that is exhibited in the dual physical nature of quantum particles. It is argued in [13] that better we clone the state, worse we delete it and vice versa. In this study, we have demonstrated the relationship between the deleting machine (DM) and the reverse deleting machine (RDM) in terms of quantum correlation.…”

Section: Introductionmentioning

confidence: 99%

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Non-local characteristics of deleting machine

Nancy

Balakrishnan

2021

Eur. Phys. J. Plus

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In this paper, we introduce a new deletion machine and its reverse. We compare the fidelity of retention and fidelity of deletion for both deleting machines with the analytical calculations. Most interestingly, it is found that the entangled output states of the deleting machines do not violate Bell's inequalities, but can act as a teleportation channel for all the input states. Further, fidelity of the teleportation channel is more than the classical channel maximum (i.e., 2/3) and reaches maximum fidelity (i.e., 3/4). We also study the concatenation of deleting machine and reverse deleting machine. Using negativity, quantum correlation created by the deleting machines is quantified. Negativity of the output states generated by the deletion machine and concatenated machines exhibits the same increasing or decreasing trend with respect to the initial state, however, bound to the maximum value of negativity. Nonlocal attributes of the proposed deletion machines mimic the well-known Pati-Braunstein deletion machine.

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“…These connections between cloning and as well deletion with various information processing tasks motivate us to analyze the behavior of quantum correlations under cloning and deleting operations. Such type of analysis for few non classical correlations like entanglement, discord have already been studied [23]. In this work, we will study the behavior of coherence, a new signature of quantumness, under the combination of two seemingly dual quantum processes -'cloning followed by deletion' and 'deletion followed by cloning' and we will provide performances of both the processes through quantum coherence consumption and generation and connect them with the fidelities of the processes.…”

Section: Introductionmentioning

confidence: 99%

Performance of quantum cloning and deleting machines over coherence

Karmakar

Sen

Sarkar

2017

Quantum Inf Process

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Coherence, being at the heart of interference phenomena, is found to be an useful resource in quantum information theory. Here we want to understand quantum coherence under the combination of two fundamentally dual processes, viz., cloning and deleting. We found the role of quantum cloning and deletion machines with the consumption and generation of quantum coherence. We establish cloning as a cohering process and deletion as a decohering process. Fidelity of the process will be shown to have connection with coherence generation and consumption of the processes.

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Publisher's Note: Complementarity of quantum correlations in cloning and deleting of quantum states [Phys. Rev. A 91, 062311 (2015)]

Cited by 4 publications

References 0 publications

Broadcasting of quantum correlations: Possibilities and impossibilities

Broadcasting of quantum correlations: Possibilities and impossibilities

Non-local characteristics of deleting machine

Performance of quantum cloning and deleting machines over coherence

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