Intrinsic degree of coherence of classical and quantum states

Patoary, Abu Saleh Musa; Kulkarni, Girish; Jha, Anand K.

doi:10.1364/josab.36.002765

Cited by 12 publications

(15 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Following the mathematical construction used in Ref. [13], we define the intrinsic degree of coherence P 2⊗2 of the two-qubit state ρ to be…”

Section: Defining the Intrinsic Degree Of Coherence Of Two-qubit Statementioning

confidence: 99%

“…One of the interpretations of P 2⊗2 is that it is the Frobenius distance between ρ and the maximally incoherent state I/4, that is, P 2⊗2 = 4 3 ρ − I 4 [12,13]. Using this result, we write the above inequality as…”

Section: B Quantum Discord and Intrinsic Degree Of Coherence Of Twoqu...mentioning

confidence: 99%

“…Our first aim in this article is to quantify the two-particle coherence of two-qubit states in a basis-independent manner. We do so by defining the intrinsic degree of coherence of two-qubit states using the same mathematical construction [11][12][13] that has been used for defining the intrinsic degree of coherence of classical and one-particle quantum states.…”

Section: Introductionmentioning

confidence: 99%

“…Although P 2 was intended to quantify the coherence of a two-dimensional polarization matrix, it can be used as a basisindependent quantifier of coherence for any two-dimensional classical or quantum state, such as a two-level atomic states or a spin-1/2 particle states. This basis-independent way of defining coherence, which in the context of two-dimensional polarization states yields the degree of polarization, has been extended not only to N-dimensional states [11][12][13] but also to infinite-dimensional states [13]. Such a quantifier is now being referred to as the "intrinsic degree of coherence" [13].…”

Section: Introductionmentioning

confidence: 99%

“…This basis-independent way of defining coherence, which in the context of two-dimensional polarization states yields the degree of polarization, has been extended not only to N-dimensional states [11][12][13] but also to infinite-dimensional states [13]. Such a quantifier is now being referred to as the "intrinsic degree of coherence" [13].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Intrinsic degree of coherence of two-qubit states and measures of two-particle quantum correlations

Meher¹,

Patoary²,

Kulkarni³

et al. 2020

J. Opt. Soc. Am. B

Self Cite

View full text Add to dashboard Cite

Recently, a basis-invariant measure of coherence known as the intrinsic degree of coherence has been established for classical and single-particle quantum states [JOSA B 36, 2765 (2019)]. Using the same mathematical construction, in this article, we define the intrinsic degree of coherence of two-qubit states and demonstrate its usefulness in quantifying two-particle quantum correlations and entanglement. In this context, first of all, we show that the intrinsic degree of coherence of a two-qubit state puts an upper bound on the violations of Bell inequalities that can be achieved with the state and that a two-qubit state with intrinsic degree of coherence less than 1/ √ 3 cannot violate Bell inequalities. We then show that the quantum discord of a two-qubit state, which quantifies the amount of quantum correlations available in the two-qubit state for certain tasks, is bounded from above by the intrinsic degree of coherence of the state. Next, in the context of two-particle entanglement, we show that the range of values that the concurrence of a two-qubit state can take is decided by the intrinsic degree of coherence of the two-qubit state together with that of the individual qubits. Finally, for the polarization two-qubit states generated by parametric down-conversion of a pump photon, we propose an experimental scheme for measuring the intrinsic degree of coherence of two-qubit states. We also present our theoretical study showing how the intrinsic degree of coherence of a pump photon dictates the maximum intrinsic degree of coherence of the generated two-qubit state.

show abstract

“…Following the mathematical construction used in Ref. [13], we define the intrinsic degree of coherence P 2⊗2 of the two-qubit state ρ to be…”

Section: Defining the Intrinsic Degree Of Coherence Of Two-qubit Statementioning

confidence: 99%

Section: B Quantum Discord and Intrinsic Degree Of Coherence Of Twoqu...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Intrinsic degree of coherence of two-qubit states and measures of two-particle quantum correlations

Meher¹,

Patoary²,

Kulkarni³

et al. 2020

J. Opt. Soc. Am. B

Self Cite

View full text Add to dashboard Cite

show abstract

Correlation-induced coherence and its use in detecting quantum phase transitions

Khan

Zhou

et al. 2022

Sci. China Phys. Mech. Astron.

View full text Add to dashboard Cite

The past two decades have witnessed a surge of interest in exploring correlation and coherence measures to investigate quantum phase transitions (QPTs). Here, motivated by the continued push along this direction, we propose a measure which is built upon the so-called degree of coherence, and advocate using the susceptibility of our measure to detect QPTs. We show that our measure can capture both the notions of coherence and correlations exhibited in bipartite states and therefore represents a hybrid of these two notions. Through examining the XXZ model and the Kitaev honeycomb model, we demonstrate that our measure is favorable for detecting QPTs in comparison to many previous proposals.

show abstract

Entanglement and coherence in a hybrid Laguerre–Gaussian rotating cavity optomechanical system with two-level atoms

Singh¹,

Peng

Asjad

et al. 2021

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

We theoretically investigate quantum entanglement and coherence in a hybrid Laguerre-Gaussian rotating cavity optomechanical system with two-level atoms, where cavity and mechanical modes are coupled through the exchange of orbital angular momentum. Our study shows that the injection of atoms with a suitable choice of the physical parameters can significantly improve the degree of optomechanical entanglement in all aspects. In the study of quantum coherence research, we show more comprehensively the negative and positive effects of atoms on the coherence. The result obtained is that only when the atom is significantly offresonant to driving field, the coupling strength in between the atoms and light field increases and the quantum coherence can be enhanced, otherwise it will reduce quantum coherence. In addition, the atomic decay suppresses quantum coherence phenomenon.

show abstract

Intrinsic degree of coherence of classical and quantum states

Cited by 12 publications

References 42 publications

Intrinsic degree of coherence of two-qubit states and measures of two-particle quantum correlations

Intrinsic degree of coherence of two-qubit states and measures of two-particle quantum correlations

Correlation-induced coherence and its use in detecting quantum phase transitions

Entanglement and coherence in a hybrid Laguerre–Gaussian rotating cavity optomechanical system with two-level atoms

Contact Info

Product

Resources

About