The manifold of pure quantum states can be regarded as a complex projective space endowed with the unitary-invariant Fubini-Study metric. According to the principles of geometric quantum mechanics, the physical characteristics of a given quantum system can be represented by geometrical features that are preferentially identified in this complex manifold. Here we construct a number of examples of such features as they arise in the state spaces for spin 1/2, spin 1, spin 3/2 and spin 2 systems, and for pairs of spin 1/2 systems. A study is then undertaken on the geometry of entangled states. A locally invariant measure is assigned to the degree of entanglement of a given state for a general multi-particle system, and the properties of this me...
The correspondence between the density matrices ρN×N and the points in RN 2 is clarified. The partic...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
For pure and mixed two-qubit states we present an analysis based on symmetries of vectors and matric...
The manifold of pure quantum states can be regarded as a complex projective space endowed with the u...
The geometric phase for a pure quantal state undergoing an arbitrary evolution is a “memory” of the ...
The geometric phase for a pure quantal state undergoing an arbitrary evolution is a "memory" of the ...
The present work is divided into two parts. First, we discuss how the functional form of thermodynam...
The present work is divided into two parts. First, we discuss how the functional form of thermodynam...
The degree to which a pure quantum state is entangled can be characterized by the distance or angle ...
A geometric approach to quantum mechanics with unitary evolution and non-unitary collapse processes ...
Geometric quantum mechanics aims to express the physical properties of quantum systems in terms of g...
144 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.The degree to which a pure qu...
144 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.The degree to which a pure qu...
The phenomenon of quantum entanglement is thoroughly investigated, focussing especially on geometric...
Abstract. The geometric formulation of quantum mechanics is a very interesting field of research whi...
The correspondence between the density matrices ρN×N and the points in RN 2 is clarified. The partic...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
For pure and mixed two-qubit states we present an analysis based on symmetries of vectors and matric...
The manifold of pure quantum states can be regarded as a complex projective space endowed with the u...
The geometric phase for a pure quantal state undergoing an arbitrary evolution is a “memory” of the ...
The geometric phase for a pure quantal state undergoing an arbitrary evolution is a "memory" of the ...
The present work is divided into two parts. First, we discuss how the functional form of thermodynam...
The present work is divided into two parts. First, we discuss how the functional form of thermodynam...
The degree to which a pure quantum state is entangled can be characterized by the distance or angle ...
A geometric approach to quantum mechanics with unitary evolution and non-unitary collapse processes ...
Geometric quantum mechanics aims to express the physical properties of quantum systems in terms of g...
144 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.The degree to which a pure qu...
144 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.The degree to which a pure qu...
The phenomenon of quantum entanglement is thoroughly investigated, focussing especially on geometric...
Abstract. The geometric formulation of quantum mechanics is a very interesting field of research whi...
The correspondence between the density matrices ρN×N and the points in RN 2 is clarified. The partic...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
For pure and mixed two-qubit states we present an analysis based on symmetries of vectors and matric...