Construction of optimal teleportation witness operators from entanglement witnesses

Adhikari, Satyabrata; Ganguly, Nirman; Majumdar, A. S.

doi:10.1103/physreva.86.032315

Cited by 11 publications

(18 citation statements)

References 41 publications

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“…In fact, one can calculate that W (I) is the exact teleportation witness in Ref. [13]. In this way, the problem proposed in Ref.…”

Section: Bipartite Teleportation Witnessmentioning

confidence: 89%

“…(ii) there exists at least one entangled state ρ which is useful for teleportation such that T r(W ρ) < 0 [11,13]. For entangled state ρ, if T r(W ρ) < 0, then teleportation witness W could detect ρ as a useful resource for teleportation.…”

Section: Bipartite Teleportation Witnessmentioning

confidence: 99%

“…A teleportation witness W is a Hermitian operator such that (i) T r(W ρ) ≥ 0 for all states ρ that are not useful for quantum teleportation. (ii) there exists at least one entangled state ρ which is useful for teleportation such that T r(W ρ) < 0 [11,13]. For entangled state ρ, if T r(W ρ) < 0, then teleportation witness W could detect ρ as a useful resource for teleportation.…”

Section: Bipartite Teleportation Witnessmentioning

confidence: 99%

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Detection of the ideal resource for multiqubit teleportation

2015

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We give a sufficient condition in detecting entanglement resource for perfect multiqubit teleportation. The criterion involves only local measurements on some complementary observables and can be experimentally implemented. It is also a necessary condition for fully separability of multiqubit states. Moreover, by proving the optimality of teleportation witnesses, we solve the open problem in [Phys. Rev. A 86, 032315 (2012)].

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“…In fact, one can calculate that W (I) is the exact teleportation witness in Ref. [13]. In this way, the problem proposed in Ref.…”

Section: Bipartite Teleportation Witnessmentioning

confidence: 89%

Section: Bipartite Teleportation Witnessmentioning

confidence: 99%

Section: Bipartite Teleportation Witnessmentioning

confidence: 99%

See 1 more Smart Citation

Detection of the ideal resource for multiqubit teleportation

2015

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“…Some entangled states have to be processed by local filtering [14] before they can be used in a task. As a consequence , telportation witnesses, thermodynamical witnesses [16] have been devised which can identify useful entangled states for various tasks. In multi qubit systems concepts like 'task oriented entangled' states [17] have been introduced.…”

Section: Introductionmentioning

confidence: 99%

Non-negativity of conditional von Neumann entropy and global unitary operations

2017

Self Cite

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Conditional von Neumann entropy is an intriguing concept in quantum information theory. In the present work, we examine the effect of global unitary operations on the conditional entropy of the system. We start with the set containing states with non-negative conditional entropy and find that some states preserve the non-negativity under unitary operations on the composite system. We call this class of states as Absolute Conditional von Neumann entropy Non Negative class (ACVENN). We are able to characterize such states for 2 ⊗ 2 dimensional systems. On a different perspective the characterization accentuates the detection of states whose conditional entropy becomes negative after the global unitary action. Interestingly, we show that this ACVENN class of states forms a set which is convex and compact. This feature enables the existence of hermitian witness operators. With these we can distinguish the unknown states which will have negative conditional entropy after the global unitary operation. We also show that this has immediate application in super dense coding and state merging as negativity of conditional entropy plays a key role in both these information processing tasks. Some illustrations followed by analysis are also provided to probe the connection of such states with absolutely separable (AS) states and absolutely local (AL) states.

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“…Finding the normalized trace of this matrix is equivalent to adding up about 10 30 numbers, which, for non-trivial matrices, is a task classically intractable. More importantly, the scheme we developed can quantify geometric discord in the system [14][15][16][17][18][19], therefore it allows a systematic study of the computational power of discord. Besides providing an experimental test of the protocol in high-dimensional Hilbert space and ultimately a test of the scalability and resilience of mixed-state computation, this work proposes an application of DQC1 to measure the mean-field interaction strength in a large ensemble of many interacting particles.…”

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confidence: 99%

A cold-atoms based processor for deterministic quantum computation with one qubit in intractably large Hilbert spaces

Mansell

Bergamini

2014

New J. Phys.

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We propose the use of Rydberg interactions and ensembles of cold atoms in mixed state for the implementation of a protocol for deterministic quantum computation with one quantum bit that can be readily operated in high dimensional Hilbert spaces. We propose an experimental test for the scalability of the protocol and to study the physics of discord. Furthermore, we explore the possibility of extending to non-trivial unitaries, such as those associated to many-body physics. Finally develop a scheme to add control to cold atom unitaries in order to facilitate their implementation in our proposal.At present, no single feature of the quantum world has been identified as the source of the computational enhancement, efficiency and speed-up of quantum protocols. Whilst entanglement is widely recognized as a key resource in quantum technology [1], an advantage over classical computing could be achieved without it [2] in the presence of non-classical correlations (discord). Experiments using few photonic qubits [3] have shown that some computational tasks can be efficiently solved even with no entanglement. As entanglement is

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Construction of optimal teleportation witness operators from entanglement witnesses

Cited by 11 publications

References 41 publications

Detection of the ideal resource for multiqubit teleportation

Detection of the ideal resource for multiqubit teleportation

Non-negativity of conditional von Neumann entropy and global unitary operations

A cold-atoms based processor for deterministic quantum computation with one qubit in intractably large Hilbert spaces

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