Binary Communication with Gazeau–Klauder Coherent States

Abstract

We investigate advantages and disadvantages of using Gazeau–Klauder coherent states for optical communication. In this short paper we show that using an alphabet consisting of coherent Gazeau–Klauder states related to a Kerr-type nonlinear oscillator instead of standard Perelomov coherent states results in lowering of the Helstrom bound for error probability in binary communication. We also discuss trace distance between Gazeau–Klauder coherent states and a standard coherent state as a quantifier of distinguishability of alphabets.

Currents in a Quantum Nanoring Controlled by Non-Classical Electromagnetic Field

“…Sensitivity of currents flowing in nanorings can be utilized as an auxiliary tool for detecting properties of non-classical flux. We compare currents controlled by a pair of Schrödinger cat states Equation ( 10 ) which are natural candidates for logical qubits in applications of quantum information processing based upon coherent states [ 31 , 35 ]. We showed a different response of currents in nanorings driven by such states cf.…”

“…The second class of states consists of coherent states forming pairs of the celebrated Schrödinger cats: where denotes a coherent state and is a normalization factor. It is hard to overestimate a role played by coherent states in quantum information processing [ 31 , 32 , 33 , 34 , 35 ] and, in particular, the states in Equation ( 10 ), as orthogonal and well distinguishable, are natural candidates for logical qubits. Further we show that currents in nanorings can serve as an auxiliary quantifier for their detection.…”

“…Properties of persistent currents in a presence of a non-classical magnetic flux flowing both in superconducting and non-superconducting rings reflect many non-classical properties of magnetic flux treading the sample and modifying a phase of electrons. Carefully prepared non-classical electromagnetic fields applicable in quantum information processing [ 31 , 32 , 33 , 34 , 35 ] are shown to modify properties of currents flowing in nanosystems [ 20 , 36 , 37 , 38 , 39 , 40 ] (and Ref. [ 41 ] for detailed review) under external field approximation [ 36 ] assumed.…”

Information and Statistical Measures in Classical vs. Quantum Condensed-Matter and Related Systems

“…The paper “Binary Communication with Gazeau–Klauder Coherent States” [ 1 ] investigates the advantages and disadvantages of using Gazeau–Klauder coherent states for optical communication. It is proved that using an alphabet consisting of coherent Gazeau–Klauder states related to a Kerr-type nonlinear oscillator instead of standard Perelomov coherent states results in a lowering of the Helstrom bound for error probability in binary communication.…”

“…To sum up, this SI accumulates substantial and versatile evidence on the widely distributed phenomenon of information transmission and how to measure it from a number of fairly complex entropic systems, ranging from classical to quantum (albeit discussed purposely in a reversed order), that have been thoroughly studied by the contributors of the presented SI [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 ]. The studies by PGC and coworkers have, to a great extent, enabled the extraction of many useful information measures from the systems covered by the SI.…”