Search results for "quantum map"

showing 2 items of 2 documents

Extraction of Singlet States from Noninteracting High-Dimensional Spins

2008

We present a scheme for the extraction of singlet states of two remote particles of arbitrary quantum spin number. The goal is achieved through post-selection of the state of interaction mediators sent in succession. A small number of iterations is sufficient to make the scheme effective. We propose two suitable experimental setups where the protocol can be implemented.

FABRY-PEROT-INTERFEROMETERPhysicsQuantum PhysicsSpinsScatteringSmall numberExtraction (chemistry)entanglement generation; quantum map; scatteringCavity quantum electrodynamicsFOS: Physical sciencesGeneral Physics and AstronomyState (functional analysis)Quantum mechanicsSCATTERINGSinglet stateQuantum Physics (quant-ph)Quantum information scienceentanglement generationquantum mapQUANTUMENTANGLEMENT
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Fractal Weyl law for open quantum chaotic maps

2014

We study the semiclassical quantization of Poincar\'e maps arising in scattering problems with fractal hyperbolic trapped sets. The main application is the proof of a fractal Weyl upper bound for the number of resonances/scattering poles in small domains near the real axis. This result encompasses the case of several convex (hard) obstacles satisfying a no-eclipse condition.

[ NLIN.NLIN-CD ] Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD][PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]FOS: Physical sciencesSemiclassical physicsDynamical Systems (math.DS)35B34 37D20 81Q50 81U05Upper and lower boundsMSC: 35B34 37D20 81Q50 81U05Fractal Weyl lawQuantization (physics)Mathematics - Analysis of PDEs[ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP]Mathematics (miscellaneous)Fractal[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]FOS: Mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]Mathematics - Dynamical SystemsQuantumMathematical physicsMathematicsScattering[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Nonlinear Sciences - Chaotic DynamicsWeyl lawResonancesQuantum chaotic scattering[NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD][ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]Chaotic Dynamics (nlin.CD)Statistics Probability and UncertaintyOpen quantum mapComplex planeAnalysis of PDEs (math.AP)Annals of Mathematics
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