Abstract
Classical to quantum decoherence transition, an issue existing for incoherent superposition of Bell-diagonal states is studied for three dimensional bipartite AB mixed quantum systems. Depending on the initial conditions, the dynamics of classical and quantum correlations can exhibit a sudden transition between classical to quantum decoherence. This result is calculated numerically by using entropic and geometric measures of correlations. An alternative explanation for this effect could be obtained by extending the bipartite A ⊗ B qutrit system to a pure tripartite A ⊗ B ⊗ C system. The freezing of classical correlations in AB is related to a freezing of the entanglement in the AC bipartition.
Highlights
Realistic quantum systems are always interacting with their environment, inducing unavoidable decoherence processes
In Fig. (1) we show the results for classical and quantum correlations calculated for the entropic and the geometric definition, using the Simulated Annealing Algorithm (SAA) algorithm for the particular value c = 0.6
We have addressed the calculation of quantum and classical correlations for incoherent superpositions of maximally entangled qutrit states
Summary
Classical to Quantum Decoherence in bipartite correlated Qutrit received: 20 October 2016 accepted: 13 February 2017. Classical to quantum decoherence transition, an issue existing for incoherent superposition of Belldiagonal states is studied for three dimensional bipartite AB mixed quantum systems. As the main result of this research we found that a sudden transition between classical to quantum decoherence exist for an initial superposition of maximally entangled qutrit states. A general description of dephasing could even consider collective dephasing Under such conditions we are mainly interested in studying the evolution of a superposition of maximally entangled two qutrit states given by: Ψm0 =. Under a non dissipative environment, which is the situation we are mainly interested, the dynamics of entangled qutrit states can be studied considering both local and collective dephasing channels.
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