Witnessing arbitrary bipartite entanglement in a measurement-device-independent way

Mallick, Arindam; Ghosh, Sibasish

doi:10.1103/physreva.96.052323

Cited by 10 publications

(8 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In contrast to the usual Bell inequal-ity violation scenario or the standard EWs one, where the measurements are used as inputs to construct the inequality, a set of quantum states are used as inputs to evaluate a payoff function for any state in case of the semi-quantum nonlocal games. For other works on MDI-EWs, see [27][28][29][30]. The measurement-device-independent scenario is also implemented in various other contexts like quantum key distribution [31], verification of quantum steering [32], etc.…”

Section: Introductionmentioning

confidence: 99%

Measurement-device-independent nonlinear entanglement witnesses

Sen¹,

Srivastava²,

Sen³

2021

Preprint

View full text Add to dashboard Cite

Entanglement witnesses are one of the most effective methods to detect entanglement. It is known that nonlinear entanglement witnesses provide better entanglement detection than their linear counterparts, in that the former detect a strictly larger subset of entangled states than the latter. Whether linear or nonlinear, the method is measurement-device dependent, so that imperfect measurements may cause false certification of entanglement in a shared state. Measurement-device-independent entanglement witnesses provide an escape from such measurement dependence of the entanglement detection for linear entanglement witnesses. Here we present measurement-device-independent nonlinear entanglement witnesses for non-positive partial transpose entangled states as well as for bound entangled states with positive partial transpose. The constructed measurementdevice-independent nonlinear entanglement witnesses certify the entanglement of the same sets of entangled states as their device-dependent parents do, and therefore are better than the linear entanglement witnesses, device-independent or otherwise.

show abstract

Section: Introductionmentioning

confidence: 99%

Measurement-device-independent nonlinear entanglement witnesses

Sen¹,

Srivastava²,

Sen³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In Ref. [16], based on the work of Ref. [14], a measurement-device-independent (MDI) universal entanglement witnessing was given for two qubits.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, for a two qudit system, an MDI universal scheme for witnessing the NPT-PPT divide was designed in Ref. [16] for all finite values of d. Also, it was conjectured in Ref. [16] that a universal entanglement witnessing scheme for bipartite systems with dimension higher than six can not exist.…”

Section: Introductionmentioning

confidence: 99%

Detecting entanglement in arbitrary two-mode Gaussian state: a Stokes-like operator based approach

Dutta¹,

Ghosh²,

Jaewan³

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

Detection of entanglement in quantum states is one of the most important problems in quantum information processing. However, it is one of the most challenging tasks to find a universal scheme which is also desired to be optimal to detect entanglement for all states of a specific class-as always preferred by experimentalists. Although, the topic is well studied at least in case of lower dimensional compound systems, e.g., two-qubit systems, but in the case of continuous variable systems, this remains as an open problem. Even in the case of two-mode Gaussian states, the problem is not fully solved. In our work, we have tried to address this issue. At first, a limited number of Hermitian operators is given to test the necessary and sufficient criterion on the covariance matrix of separable two-mode Gaussian states. Thereafter, we present an interferometric scheme to test the same separability criterion in which the measurements are being done via Stokes-like operators. In such case, we consider only single-copy measurements on a two-mode Gaussian state at a time and the scheme amounts to the full state tomography. Although this latter approach is a linear optics based one, nevertheless it is not an economic scheme. Resource-wise a more economical scheme than the full state tomography is obtained if we consider measurements on two copies of the state at a time. However, optimality of the scheme is not yet known.

show abstract

“…It has been shown [32,33] that any universal entanglement detection scheme on a single copy of a state, has to be necessarily a state tomography process. Recently, the protocol in [29] was extended to the completely device independent scenario [34].…”

Section: Introductionmentioning

confidence: 99%

Universal detection of entanglement in two-qubit states using only two copies

et al. 2019

Self Cite

View full text Add to dashboard Cite

We revisit the problem of detection of entanglement of an unknown two-qubit state using minimal resources. Using weak values and just two copies of an arbitrary two-qubit state, we present a protocol where a post selection measurement in the computational basis provides enough information to identify if the state is entangled or not. Our protocol enables complete state identification with a single-setting post selection measurement on two copies of the state. It follows that by restricting to pure states, the global interaction required for determining the weak values can be realized by local operations. We further show that our protocol is robust against errors arising from inappropriate global interactions applied during weak value determination.

show abstract

Witnessing arbitrary bipartite entanglement in a measurement-device-independent way

Cited by 10 publications

References 34 publications

Measurement-device-independent nonlinear entanglement witnesses

Measurement-device-independent nonlinear entanglement witnesses

Detecting entanglement in arbitrary two-mode Gaussian state: a Stokes-like operator based approach

Universal detection of entanglement in two-qubit states using only two copies

Contact Info

Product

Resources

About