Quantum discord evolution of three-qubit states under noisy channels

Mahdian, M.; Yousefjani, Rozhin; Salimi, S.

doi:10.1140/epjd/e2012-20688-1

Cited by 37 publications

(22 citation statements)

References 39 publications

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“…On the other hand, finding the best measurements is one of the significant challenges in quantum computing. Optimal measurements have been used in many context, such as quantum discrimination [2], quantum entanglement [3][4][5], quantum teleportation [6], and superdense coding [7], also in the calculation of quantum correlation [1,[8][9][10][11][12]. We know that quantum correlations play a very critical role in quantum information and computation.…”

Section: Introductionmentioning

confidence: 99%

Toward a quantum computing algorithm to quantify classical and quantum correlation of system states

Mahdian,

Yeganeh

2021

Preprint

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Optimal measurement is required to obtain the quantum and classical correlations of a quantum state, and the crucial difficulty is how to acquire the maximal information about one system by measuring the other part; in other words, getting the maximum information corresponds to preparing the best measurement operators. Within a general setup, we designed a variational hybrid quantum-classical (VHQC) algorithm to achieve classical and quantum correlations for system states under the Noisy-Intermediate Scale Quantum (NISQ) technology. To employ, first, we map the density matrix to the vector representation, which displays it in a doubled Hilbert space, and it's converted to a pure state. Then we apply the measurement operators to a part of the subsystem and use variational principle and a classical optimization for the determination of the amount of correlation. We numerically test the performance of our algorithm at finding a correlation of some density matrices, and the output of our algorithm is compatible with the exact calculation.

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Section: Introductionmentioning

confidence: 99%

Toward a quantum computing algorithm to quantify classical and quantum correlation of system states

Mahdian,

Yeganeh

2021

Preprint

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“…In order to quantify quantum correlations, the suitable measure is so called the quantum discord, introduced by Olliver and Zurek [9] and also by Henderson and Vedral [10] independently. Over the past decade, quantum discord has received a lot of attention and many studies performed and articles written about that [12][13][14][15][16][17][18][19][20]. For pure states, quantum discord reduces to entanglement but has a nonzero value for some mixed separable states and define as the discrepancy between total correlation and classical correlation.…”

Section: Introductionmentioning

confidence: 99%

Comparison of quantum discord and relative entropy in some bipartite quantum systems

Mahdian

Arjmandi

2016

Quantum Inf Process

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The study of quantum correlations in High-dimensional bipartite systems is crucial for the development of quantum computing. We propose relative entropy as a distance measure of correlations may be measured by means of the distance from the quantum state to the closest classical-classical state. In particular, We establish relations between relative entropy and quantum discord quantifiers obtained by means of orthogonal projection measurements. We show that for symmetrical X-states density matrices the quantum discord is equal to relative entropy. At the end of paper, various examples of X-states such as two-qubit and qubit-qutrit have been demonstrated.

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“…It can be defined as the maximum distance between the bipartite state and its post-measurement state, where the maximum is taken over all the von Neumann local measurements which do not disturb the local state. Recent investigations in this direction includes [43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60], where the behaviour of the dynamics of the system is discussed under different scenarios. Furthermore, the dynamics of entanglement at zero and finite temperature has been studied by many authors, for example [61][62][63].…”

Section: Introductionmentioning

confidence: 99%

Decoherence dynamics of geometric measure of quantum discord and measurement induced nonlocality for noninertial observers at finite temperature

Ramzan

2013

Quantum Inf Process

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Quantum discord quantifies the total non-classical correlations in mixed states. It is the difference between total correlation, measured by quantum mutual information, and the classical correlation. Another step forward towards the quantification of quantum discord was by Dakic, Vedral, and Brukner [Phys. Rev. Lett. 105,190502 (2010)] who introduced the geometric measure of quantum discord (GMQD) and derived an explicit formula for a two-qubit state. Recently, Luo and Fu [Phys. Rev. Lett. 106, 120401 (2011)] introduced measurement-induced nonlocality (MIN) as a measure of nonlocality for a bipartite quantum system. The dynamics of GMQD is recently considered by Song et al. [arXiv: quant/ph.1203.3356] and Zhang et al. [Eur. Phys. J. D 66, 34 (2012)] for inertial observers. However, the topic requires due attention in noninertial frames, particularly, from the perspective of MIN. Here I consider X-structured bipartite quantum system in noninertial frames and analyze the decoherence dynamics of GMQD and MIN at finite temperature. The dynamics under the influence of amplitude damping, depolarizing and phase flip channels is discussed. It is worth-noting that initial state entanglement plays an important role in bipartite states. It is possible to distinguish the Bell, Werner and general type initial quantum states using GMQD. Sudden transition in the behaviour of GMQD and MIN occurs depending upon the mean photon number of the local environment.The transition behaviour disappears for larger values ofn, i.e.n > 0.3. It becomes more prominent, when environmental noise is introduced in the system. In the presence of environmental noise, as we increase the value of acceleration r, GMQD and MIN decay due to Unruh effect. The effect is prominent for the phase flip and amplitude damping channels.However, in case of depolarizing channel, no sudden change in the behaviour of GMQD and MIN is observed. The environmental noise has stronger affect on the dynamics of GMQD and MIN as compared to the Unruh effect. Furthermore, Werner like states are more robust than General type initial states at finite temperature.

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Quantum discord evolution of three-qubit states under noisy channels

Cited by 37 publications

References 39 publications

Toward a quantum computing algorithm to quantify classical and quantum correlation of system states

Toward a quantum computing algorithm to quantify classical and quantum correlation of system states

Comparison of quantum discord and relative entropy in some bipartite quantum systems

Decoherence dynamics of geometric measure of quantum discord and measurement induced nonlocality for noninertial observers at finite temperature

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