Accessible information about quantum states: An open optimization problem

We study the classical and quantum correlations in the minimum error discrimination (ME) of two non-orthogonal pure quantum states. In particular, we consider quantum discord, thermal discord and entropy generation. We show that ME allows one to reach the accessible information between the two involved parties, Alice and Bob, in the discrimination process. We determine the amount of quantum discord that is consumed in the ME and show that the entropy generation is, in general, higher than the thermal discord. However, in certain cases the entropy generation is very close to thermal discord, which indicates that, in these cases, the process generates the least possible entropy. Moreover, we also study the ME process as a thermodynamic cycle and we show that it is in agreement with the second law of thermodynamics. Finally, we study the relation between the accessible information and the optimum success probability in ME.

Download Full-text

Accessible information about quantum states

Chapman & Hall/CRC Applied Mathematics & Nonlinear Science - Mathematics of Quantum Computation and Quantum Technology ◽

10.1201/9781584889007.ch11 ◽

2007 ◽

pp. 309-348

Author(s):

Berthold-Georg Englert ◽

Syed Assad ◽

Jun Suzuki

Keyword(s):

Quantum States ◽

Accessible Information

Download Full-text

Geometry of Quantum States

10.1017/cbo9780511535048 ◽

2006 ◽

Cited By ~ 873

Author(s):

Ingemar Bengtsson ◽

Karol Zyczkowski

Keyword(s):

Quantum States

Download Full-text

Transport of quantum states of periodically driven systems

Journal de Physique ◽

10.1051/jphys:01990005108070900 ◽

1990 ◽

Vol 51 (8) ◽

pp. 709-722 ◽

Cited By ~ 23

Author(s):

H.P. Breuer ◽

K. Dietz ◽

M. Holthaus

Keyword(s):

Quantum States ◽

Driven Systems ◽

Periodically Driven

Download Full-text

Exergy and sensibility analysis of each individual effect in a kraft multiple effect evaporator

TAPPI Journal ◽

10.32964/tj18.10.607 ◽

2019 ◽

Vol 18 (10) ◽

pp. 607-618

Author(s):

JÉSSICA MOREIRA ◽

BRUNO LACERDA DE OLIVEIRA CAMPOS ◽

ESLY FERREIRA DA COSTA JUNIOR ◽

ANDRÉA OLIVEIRA SOUZA DA COSTA

Keyword(s):

Optimization Problem ◽

Real Data ◽

Kraft Pulping ◽

Steam Temperature ◽

Input Flow ◽

Transfer Coefficients ◽

Heat Transfer Coefficients ◽

Multiple Effect ◽

Sensibility Analysis ◽

Exergetic Analysis

The multiple effect evaporator (MEE) is an energy intensive step in the kraft pulping process. The exergetic analysis can be useful for locating irreversibilities in the process and pointing out which equipment is less efficient, and it could also be the object of optimization studies. In the present work, each evaporator of a real kraft system has been individually described using mass balance and thermodynamics principles (the first and the second laws). Real data from a kraft MEE were collected from a Brazilian plant and were used for the estimation of heat transfer coefficients in a nonlinear optimization problem, as well as for the validation of the model. An exergetic analysis was made for each effect individually, which resulted in effects 1A and 1B being the least efficient, and therefore having the greatest potential for improvement. A sensibility analysis was also performed, showing that steam temperature and liquor input flow rate are sensible parameters.

Download Full-text