Quantification of concurrence via weak measurement

Tukiainen, Mikko; Kobayashi, H.; Shikano, Yutaka

doi:10.1103/physreva.95.052301

Cited by 10 publications

(6 citation statements)

References 55 publications

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“…In this section, we present a technique using weak values to detect entanglement of any two-qubit state, through a single projective measurement, i.e., measurement in a single setting. It was recently shown [61], that by suitable choice of Hamiltonian and post-selective measurement, weak values can be used to determine the concurrence of any pure two-qubit state. In this paper we generalize this idea to any two-qubit state.…”

Section: Entanglement Witness Via Weak Values Using Two Copies Omentioning

confidence: 99%

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

et al. 2019

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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.

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Section: Entanglement Witness Via Weak Values Using Two Copies Omentioning

confidence: 99%

“…Our aim is to reduce the number of copies of the state required, and hence reduce the resources required for the process of witnessing. For this purpose we consider the technique of using weak measurement as in [61]. Note that in Eq.…”

Section: A the General Casementioning

confidence: 99%

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

et al. 2019

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“…One of the most well known facets of weak measurement scheme is the concept of the so called weak values of an observable, which are, in general, complex numbers. In the last few years, weak values have been used in the context of measuring quantities which may or may not have quantum mechanical observables associated with them, for example, the geometric phase [18], non Hermitian operators [19], density matrix corresponding to a quantum state [20][21][22], or the entanglement content of a quantum state [23,24]. The weak value amplification technique has found recent physical application in observations of the spin Hall effect [25], photon trajectories [26], or the time delay between ultra fast processes [27] as well.…”

Section: Introductionmentioning

confidence: 99%

Quantum precision thermometry with weak measurement

Pati,

Mukhopadhyay,

Chakraborty

et al. 2019

Preprint

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As the minituarization of electronic devices, which are sensitive to temperature, grows apace, sensing of temperature with ever smaller probes is more important than ever. Genuinely quantum mechanical schemes of thermometry are thus expected to be crucial to future technological progress. We propose a new method to measure the temperature of a bath using the weak measurement scheme with a finite dimensional probe. The precision offered by the present scheme not only shows similar qualitative features as the usual Quantum Fisher Information based thermometric protocols, but also allows for flexibility over setting the optimal thermometric window through judicious choice of post selection measurements.

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“…14 . In 15 , Tukiainen et al . proposed a protocol to quantify the concurrence of any two-qubit pure state using weak measurements and weak values.…”

Section: Introductionmentioning

confidence: 99%

Measurability of D-concurrence

Karimi

Heshmati

Yahyavi

et al. 2019

Sci Rep

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An effective approach to quantify entanglement of any bipartite systems is D-concurrence, which is important in quantum information science. In this paper, we present a direct method for experimental determination of the D-concurrence of an arbitrary bipartite pure state. To do this, we show that measurement of the D-concurrence of bipartite pure state can be conversed into the measurement performed on some observables so called generalized Gell-Mann operators. We first introduce the concept of D-concurrence for a bipartite system. Then we explain the method of measuring this entanglement measure for the pure state. Finally, for clarify of the subject, we give an example consisting of two parties A and B with dimensions 3.

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Quantification of concurrence via weak measurement

Cited by 10 publications

References 55 publications

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

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

Quantum precision thermometry with weak measurement

Measurability of D-concurrence

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