Almost minimum error discrimination of N-ary weak coherent states by Jaynes-Cummings Hamiltonian dynamics

Namkung, Min; Kwon, Younghun

doi:10.1038/s41598-019-55589-7

Cited by 16 publications

(13 citation statements)

References 70 publications

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“…During the last few decades, the classical and quantum correlations [ 1 , 2 ] present in quantum communication protocols have been an important subject of study [ 3 , 4 , 5 , 6 ]. In a quantum communication protocol, Alice typically sends information to Bob that is encoded in quantum states [ 7 ].…”

Section: Introductionmentioning

confidence: 99%

“…In particular, if Alice uses two non-orthogonal pure states, it is known that the minimum error discrimination implemented by Bob maximizes the mutual information and minimizes the error probability [ 11 , 16 , 21 ]. On the other hand, quantum correlations [ 3 , 4 , 5 , 6 ] can be used as a criteria of quantumness of the states [ 22 , 23 ] and also these correlations allow us to quantify the resources that are required to carry out quantum communication protocols [ 24 , 25 , 26 ]. Some of the most studied quantum correlations are: entanglement [ 27 ], quantum discord [ 2 , 28 ], thermal discord [ 29 , 30 ], and global discord [ 31 , 32 ].…”

Section: Introductionmentioning

confidence: 99%

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Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes

Jiménez

Solís-Prosser

Neves

et al. 2021

Entropy

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We studied the mutual information and quantum discord that Alice and Bob share when Bob implements a discrimination with a fixed rate of inconclusive outcomes (FRIO) onto two pure non-orthogonal quantum states, generated with arbitrary a priori probabilities. FRIO discrimination interpolates between minimum error (ME) and unambiguous state discrimination (UD). ME and UD are well known discrimination protocols with several applications in quantum information theory. FRIO discrimination provides a more general framework where the discrimination process together with its applications can be studied. In this setting, we compared the performance of optimum probability of discrimination, mutual information, and quantum discord. We found that the accessible information is obtained when Bob implements the ME strategy. The most (least) efficient discrimination scheme is ME (UD), from the point of view of correlations that are lost in the initial state and remain in the final state, after Bob’s measurement.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes

Jiménez

Solís-Prosser

Neves

et al. 2021

Entropy

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“…Further, we showed that our argument could be extended to cases, including two mixed states. In fact, generalized measurement can be applied to performing not only unambiguous discrimination, but also minimum error discrimination [52][53][54][55][56][57][58] and the fixed rate of inconclusive result [59,60]. Therefore, while using the argument provided in this work, it is interesting to investigate whether coherence distribution can explain the structure of generalized measurements performing other quantum state discriminations.…”

Section: Discussionmentioning

confidence: 99%

Understanding of Various Type of Unambiguous Discrimination in View of Coherence Distribution

Namkung

Kwon

2020

Entropy

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Unambiguous quantum state discrimination is a strategy where the conclusive result can always be trusted. This strategy is very important, since it can be used for various quantum information protocols, including quantum key distribution. However, in the view of quantumness, it is not clear what is going on in performing unambiguous quantum state discrimination. To answer the question, we investigate coherence distribution when unambiguous discrimination is performed by generalized measurement. Specially, we study coherence distribution in three cases, which consist of unambiguous quantum state discrimination, sequential quantum state discrimination, and assisted optimal discrimination, which are considered to be a family of unambiguous quantum state discrimination. In this investigation, we show that the structure of generalized measurements performing various types of unambiguous quantum state discrimination can be understood in terms of coherence distribution. Our result is not limited to the discrimination of two pure quantum states, but it is extended to the discrimination of two mixed states.

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“…On the other hand, the time-dependent perturbation theory is explained in [4]. One particle transition, classical to quantum transition, probabilities of transition in two level state, sudden transition, quantum critical points, dynamical quantum phase transitions and quantum thermodynamics are illustrated in [5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Minimum Time Transition Between Quantum States in Gravitational Field

Novaković¹

2021

AJMP

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Here it is started with the proportionality between Planck's and related gravitational parameters. Using the ratio between Planck mass and related minimal gravitational radius (half of Planck length) we obtain maximal radial density (kg/m) in gravitational field. On the other hand, minimal radial density one obtains using the ratio between Planck mass and related maximal radius in gravitational field. It is based on new Relativistic Alpha Field Theory (RAFT) that predicts the existence of minimal and maximal gravitational radius in a gravitational field. Thus, no singularity at the minimal gravitational radius and no infinity at the maximal gravitational radius. It is shown that the maximal radial density is constant and is valid for all amounts of masses. Also, minimal radial density is constant and is valid for all amounts of masses. Using Planck parameters, it is calculated the energy conservation constant k = 0.999934. Since this constant is less from unity and grater from zero, the minimal gravitational radius cannot be zero (no singularity in a gravitational field) and maximal gravitational radius cannot be infinitive (no infinity in gravitational field). Here quantization of a gravitational field is based on the multiplication of the minimal gravitational length (twice of minimal radius) by parameter n =1, 2,… The calculation of the minimum time transition between two quantum state for the proton gives 0.413466×10 -62 seconds. The minimal expansion time from minimal to maximal radius of proton is equal to 1.253992×10 -58 sec. This is in accordance with recently observation, revealing nano big bang: the first millisecond of crystal formation. The calculation of the minimum time transition between two quantum state for Universe is 13.948503×10 9 years. The minimal expansion time from minimal to maximal radius of Universe is equal to 422,151.136168×10 9 years. Previous calculation is based on the velocity equal to the speed of light. Since the real transition velocity is less than the speed of light, the real transition and expansion times are greater compare to the previous calculation. Following the previous results, one can understand why the quantum approach has only sense for the small mases i.e. particles.

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Almost minimum error discrimination of N-ary weak coherent states by Jaynes-Cummings Hamiltonian dynamics

Cited by 16 publications

References 70 publications

Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes

Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes

Understanding of Various Type of Unambiguous Discrimination in View of Coherence Distribution

Minimum Time Transition Between Quantum States in Gravitational Field

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