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APS

Creation of a Bidirectional Spin Filter Using Quantum Coherence

Joshua Folk

Published Mar 1, 2003• 0 citations
OpenAlex

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Improving the bidirectional steerability between two accelerated partners via filtering process

Mahmoud Youssef Abd‐Rabbou, NASSER METWALLY, M. M. A. Ahmed +1 more

In this paper, the bidirectional steering between two accelerated partners sharing initially different classes of entangled states is discussed. Due to the decoherence, the steerability and its degree decrease either as the acceleration increases or the partners share initially a small amount of quantum correlations. The possibility of increasing the steerability is investigated by applying the filtering process. Our results show that by increasing the filtering strength, one can improve the upper bounds of the steerability and the range of acceleration at which the steerability is possible. Steering large coherent states is much better than steering less coherent ones.

arXiv:2209.03432•Modern Physics Letters A•Jul 20, 2022•25 citations

Decoherence on Quantum Spin Systems

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Bulletin of the American Physical Society•Mar 24, 2005•0 citations

Supersymmetric Quantum Stochastic Filtering Theory

Harish Parthasarathy

Belavkin first constructed non-demolition measurements for such systems using which one could construct the conditional expectation of a Heisenberg observable evolving in the HPS-qsde framework and that this conditional expectation could be computed on a real time basis leading to the Belavkin filter that generalizes the classical Kushner-Kallianpur filter in stochastic filtering theory. Physical meaning to the filtering results in such coherent states can be obtained only after averaging the results by means of a weight function dependent upon the Grassmannian parameters using the Berezin integral. This idea also plays a fundamental role in the theory of quantum antennas wherein the electromagnetic field produced by the current density generated by electrons and positrons in the Dirac picture is a quadratic combination of the Fermionic creation and annihilation operators and hence by applying the retarded potential formula, the electromagnetic field radiated out by such a quantum antenna is also a quadratic functional of the Fermionic creation and annihilation operators.

CRC Press eBooks•Sep 20, 2022•0 citations
In this paper, the bidirectional steering between two accelerated partners sharing initially different classes of entangled states is discussed. Due to the decoherence, the steerability and its degree decrease either as the acceleration increases or the partners share initially a small amount of quantum correlations. The possibility of increasing the steerability is investigated by applying the filtering process. Our results show that by increasing the filtering strength, one can improve the upper bounds of the steerability and the range of acceleration at which the steerability is possible. Steering large coherent states is much better than steering less coherent ones.
Belavkin first constructed non-demolition measurements for such systems using which one could construct the conditional expectation of a Heisenberg observable evolving in the HPS-qsde framework and that this conditional expectation could be computed on a real time basis leading to the Belavkin filter that generalizes the classical Kushner-Kallianpur filter in stochastic filtering theory. Physical meaning to the filtering results in such coherent states can be obtained only after averaging the results by means of a weight function dependent upon the Grassmannian parameters using the Berezin integral. This idea also plays a fundamental role in the theory of quantum antennas wherein the electromagnetic field produced by the current density generated by electrons and positrons in the Dirac picture is a quadratic combination of the Fermionic creation and annihilation operators and hence by applying the retarded potential formula, the electromagnetic field radiated out by such a quantum antenna is also a quadratic functional of the Fermionic creation and annihilation operators.