Bounds on mixedness and entanglement of quantum teleportation resources

Paulson, K. G.; Satyanarayana, S. V. M.

doi:10.1016/j.physleta.2017.02.010

Cited by 19 publications

(12 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Moreover the amount of variation of optimal fidelity with purity, for fixed amount of concurrence, depends on the rank of the states. Our result also agrees with the work in reference [7]. Higher rank X-states give larger optimal fidelity for a fixed value of purity and concurrence.…”

Section: Discussionsupporting

confidence: 92%

“…It has also been proved [6] that if a state exceeds a certain degree of mixedness as quantified by von Neumann entropy, then it can't be used as teleportation channel. Likewise in [7] the authors have obtained rank dependent lower bound on concurrence and upper bound on mixedness of a state for the success of the teleportation protocol. Verstraete et al [8] have found an upper bound on fidelity in terms of its entanglement as measured by concurrence [9] or negativity [10].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two-qubit mixed states and teleportation fidelity: purity, concurrence, and beyond

et al. 2018

View full text Add to dashboard Cite

To explore the properties of a two-qubit mixed state, we consider quantum teleportation. The fidelity of a teleported state depends on the resource state purity and entanglement, as characterized by concurrence. Concurrence and purity are functions of state parameters. However, it turns out that a state with larger purity and concurrence, may have comparatively smaller fidelity. By computing teleportation fidelity, concurrence and purity for two-qubit X-states, we show it explicitly. We further show that fidelity changes monotonically with respect to functions of parameters -other than concurrence and purity. A state with smaller concurrence and purity, but larger value of one of these functions has larger fidelity. These functions, thus characterize nonlocal classical and/or quantum properties of the state that are not captured by purity and concurrence alone. In particular, concurrence is not enough to characterize the entanglement properties of a two-qubit mixed state.

show abstract

Section: Discussionsupporting

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Two-qubit mixed states and teleportation fidelity: purity, concurrence, and beyond

et al. 2018

View full text Add to dashboard Cite

show abstract

“…Quantum speed limit time is one among them. Quantum speed limit as a measure of non-Markovianity, and its connection with the hierarchy of quantum correlations of composite quantum system [28,29] are discussed in [30,31]. Even though quantum speed limit time seems to identify the information backflow due to the non-Markovianity, in [30] it is shown that there exists no simple connection between non-Markovianity and speed limit time.…”

Section: Introductionmentioning

confidence: 99%

The effect of quantum memory on quantum speed limit time

Paulson,

Banerjee,

Srikanth

2021

Preprint

View full text Add to dashboard Cite

Quantum speed limit time defines the limit on the minimum time required for a quantum system to evolve between two states. Investigation of bounds on speed limit time of quantum system under non-unitary evolution is of fundamental interest, as it reveals interesting connections to quantum (non-)Markovianity. Here, we discuss the characteristics of quantum speed limit time as a function of quantum memory, quantified as the deviation from temporal self-similarity of quantum dynamical maps for CP-divisible as well as indivisible maps. This provides an operational meaning to CPdivisible (non-)Markovianity.I.

show abstract

“…Notwithstanding, the investigation of the connection between entanglement and mixedness exhibited by a quantum system is of great interest, e.g. in quantum computation theory [7,8] as well in quantum teleportation [9]. The threshold of mixedness exhibited by a quantum system compatible with the occurrence of entanglement between two parties of the same system has been analyzed, leading for example to the so-called Kus-Zyczkowski ball of absolutely separable states [10]- [13].…”

Section: Introductionmentioning

confidence: 99%

Bounds on Mixed State Entanglement

Leggio

Napoli

Nakazato

et al. 2020

Entropy

View full text Add to dashboard Cite

In the general framework of d × d mixed states, we derive an explicit bound for bipartite NPT entanglement based on the mixedness characterization of the physical system. The result derived is very general, being based only on the assumption of finite dimensionality. In addition it turns out to be of experimental interest since some purity measuring protocols are known. Exploiting the bound in the particular case of thermal entanglement, a way to connect thermodynamic features to monogamy of quantum correlations is suggested, and some recent results on the subject are given a physically clear explanation.

show abstract

Bounds on mixedness and entanglement of quantum teleportation resources

Cited by 19 publications

References 24 publications

Two-qubit mixed states and teleportation fidelity: purity, concurrence, and beyond

Two-qubit mixed states and teleportation fidelity: purity, concurrence, and beyond

The effect of quantum memory on quantum speed limit time

Bounds on Mixed State Entanglement

Contact Info

Product

Resources

About