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Rank penalized estimation of a quantum system
Rank penalized estimation quantum system Statistics Theory
2012/6/29
We introduce a new method to reconstruct the quantum matrix $\bar{\rho}$ of a system of $n$-qubits and estimate its rank $d$ from data obtained by quantum state tomography measurements repeated $m$ ti...
Quantum Geometric Tensor (Fubini-Study Metric) in Simple Quantum System: A pedagogical Introduction
Quantum Geometric Tensor Simple Quantum System pedagogical Introduction
2011/3/2
Geometric Quantum Mechanics is a novel and prospecting approach motivated by the belief that
our world is ultimately geometrical. At the heart of that is a quantity called Quantum Geometric Tensor (o...
Exact Pointer Properties for Quantum System Projector Measurements with Application to Weak Measurements and Their Accuracy
Exact Pointer Properties Quantum System Projector Measurements Application Measurements Accuracy
2010/11/5
Exact pointer states are obtained for projection operator measurements performed upon pre-selected (PS) and upon pre- and post-selected (PPS) quantum systems. These states are used to provide simple e...
Geometric measure of quantum discord for an arbitrary state of a bipartite quantum system
Geometric measure quantum discord for arbitrary state bipartite quantum system
2010/11/4
Quantum discord, as introduced by Olliver and Zurek [Phys. Rev. Lett. \textbf{88}, 017901 (2001)], is a measure of the discrepancy between quantum versions of two classically equivalent expressions fo...
Dynamical cooling of a single-reservoir open quantum system via optimal control
Dynamical cooling single-reservoir quantum system via optimal control
2010/11/9
Based on an exact description of open quantum systems in terms of stochastic Liouville-von Neumann equations optimal control is investigated without rotating-wave or Markovian approximations. Within t...
A D-dimensional Markovian open quantum system will undergo quantum jumps between pure
states, if we can monitor the bath to which it is coupled with sufficient precision. In general these jumps, plus...
Open Quantum System Dynamics from a Measurement Perspective: Applications to Coherent Particle Transport and to Quantum~Brownian Motion
Open Quantum System Dynamics a Measurement Perspective Applications Coherent Particle Transport Quantum~Brownian Motion
2010/10/20
We employ the theoretical framework of positive operator valued measures, to study Markovian open quantum systems. In particular, we discuss how a quantum system in uences its environment, or parts th...
On the Spectrum of a Discrete Non-Hermitian Quantum System
difference operator non-Hermiticity spectrum eigenvalue eigenvector completely continuous operator
2010/4/13
In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple con...
On the measurement problem for a two-level quantum system
measurement problem Born rule Berry's phase
2008/4/15
A geometric approach to quantum mechanics with unitary evolution and non-unitary collapse processes is developed. In this approach the Schroedinger evolution of a quantum system is a geodesic motion o...