4.1k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Goddard Space Flight CenterUS209 papers
- University of Maryland, College ParkUS195 papers
- Centre National de la Recherche ScientifiqueFR189 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PisaIT187 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT186 papers
- University of PaduaIT180 papers
- Stanford UniversityUS178 papers
- AlbaNovaSE175 papers
- Kavli Institute for Particle Astrophysics and CosmologyUS173 papers
- University of TriesteIT173 papers
- Istituto Nazionale di Fisica Nucleare, Roma Tor VergataIT172 papers
- Hiroshima UniversityJP171 papers
41 papers · 1 filter
Geometric Algebras and Fermion Quantum Field Theory
Stan Gudder
Corresponding to a finite dimensional Hilbert space with , we define a geometric algebra $\gscript (H)$ with $\dim\sqbrac{\gscript (H)}=2^n$. The algebra $\gscript (H…
Phase-resolved measurement of entangled states via common-path interferometry
Andrew A. Voitiv, Mark T. Lusk, Mark E. Siemens
We propose and experimentally demonstrate a method to directly measure the phase of biphoton states using an entangled mode as a collinear reference. The technique is demonstrated…
Finite (quantum) effect algebras
Stan Gudder, Teiko Heinosaari
We investigate finite effect algebras and their classification. We show that an effect algebra with elements has at least and at most nontrivial defined su…
Pump-tailored Alternative Bell State Generation in the First-Order Hermite-Gaussian basis
Zhe Kan, Andrew A. Voitiv, Patrick C. Ford +2
We demonstrate entangled-state swapping, within the Hermite-Gaussian basis of first-order modes, directly from the process of spontaneous parametric down-conversion within a nonlin…
A Theory of Quantum Instruments
Stanley Gudder
Until recently, a quantum instrument was defined to be a completely positive operation-valued measure from the set of states on a Hilbert space to itself. In the last few years, th…
Conditional Effects, Observables and Instruments
Stanley Gudder
We begin with a study of operations and the effects they measure. We define the probability that an effect occurs when the system is in a state by . If $P_ρ…
Real-Valued Observables and Quantum Uncertainty
Stanley Gudder
We first present a generalization of the Robertson-Heisenberg uncertainty principle. This generalization applies to mixed states and contains a covariance term. For faithful states…
Entropy of Quantum Measurements
Stan Gudder
If is a quantum effect and is a state, we define the -entropy which gives the amount of uncertainty that a measurement of provides about . The smaller $S…
Dual Instruments and Sequential Products of Observables
Stan Gudder
We first show that every operation possesses an unique dual operation and measures an unique effect. If and are effects and is an operation that measures , we define…
Sensitivity of entanglement measures in bipartite pure quantum states
Danko D. Georgiev, Stanley P. Gudder
Entanglement measures quantify the amount of quantum entanglement that is contained in quantum states. Typically, different entanglement measures do not have to be partially ordere…
Mutually Unbiased Quantum Observables
Stan Gudder
We begin by defining mutually unbiased (MU) observables on a finite dimensional Hilbert space. We also consider the more general concept of parts of MU observables. The relationshi…
Coarse-Graining of Observables
Stan Gudder
We first define the coarse-graining of probability measures in terms of stochastic kernels. We define when a probability measure is part of another probability measure and say that…
Sequential Products of Quantum Measurements
Stan Gudder
Our basic structure is a finite-dimensional complex Hilbert space . We point out that the set of effects on form a convex effect algebra. Although the set of operators on $H…
Time Evolution of Quantum Effects
Stan Gudder
For quantum effects and we define the -evolution of at time denoted by . We interpret as the influence that has on at time w…
Combinations of Quantum Observables and Instruments
Stan Gudder
This article points out that observables and instruments can be combined in many ways that have natural and physical interpretations. We shall mainly concentrate on the mathematica…
Quantum Computing Solution of DC Power Flow
Rozhin Eskandarpour, Kumar Ghosh, Amin Khodaei +3
In this paper, we model and solve a fundamental power system problem, i.e., DC power flow, using a practical quantum computer. The Harrow-Hassidim-Lloyd (HHL) quantum algorithm is…
Nondisturbing Quantum Measurement Models
Stan Gudder
A measurement model is a framework that describes a quantum measurement process. In this article we restrict attention to s on finite-dimensional Hilbert spaces. Suppose we wan…
Parts and Composites of Quantum Systems
Stan Gudder
We consider three types of entities for quantum measurements. In order of generality, these types are: observables, instruments and measurement models. If and are entities,…
Hidden Silicon-Vacancy Centers in Diamond
Christopher L. Smallwood, Ronald Ulbricht, Matthew W. Day +7
We characterize a high-density sample of negatively charged silicon-vacancy (SiV) centers in diamond using collinear optical multidimensional coherent spectroscopy. By comparin…
Finite Quantum Instruments
Stan Gudder
This article considers quantum systems described by a finite-dimensional complex Hilbert space . We first define the concept of a finite observable on . We then discuss ways…
Spooky Action at a Distance
Stan Gudder
This article studies quantum mechanical entanglement. We begin by illustrating why entanglement implies action at a distance. We then introduce a simple criterion for determining w…
Quantum Instruments and Conditioned Observables
Stan Gudder
Observables and instruments have played significant roles in recent studies on the foundations of quantum mechanics. Sequential products of effects and conditioned observables have…
Conditioned Observables in Quantum Mechanics
Stan Gudder
This paper presents some of the basic properties of conditioned observables in finite-dimensional quantum mechanics. We begin by defining the sequential product of quantum effects…
Operational restrictions in general probabilistic theories
Sergey N. Filippov, Stan Gudder, Teiko Heinosaari +1
The formalism of general probabilistic theories provides a universal paradigm that is suitable for describing various physical systems including classical and quantum ones as parti…