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Shortened abstract: Given a constrained minimization problem, under what conditions does there exist a related, unconstrained problem having the same minimum points? This basic question in global optimization motivates this paper, which…

Statistical Mechanics · Physics 2007-05-23 M. Costeniuc , R. S. Ellis , H. Touchette , B. Turkington

The problem of quantum state reduction in the process of measurement has attracted attention of almost everyone who created, developed or explained quantum physics to the students. Absence of a solution is the basis for the statement that…

Quantum Physics · Physics 2017-09-11 Constantin V. Usenko

Quantum random numbers are essential for security against quantum algorithms. Randomness as a beacon is a service being provided for companies and governments to upgrade their security standards from RSA to PQC-QKD or PQC-RSA protocols.…

Quantum Physics · Physics 2025-04-30 Vardaan Mongia , Abhishek Kumar , Shashi Prabhakar , R. P. Singh

A novel measure, quantumness of correlations is introduced here for bipartite states, by incorporating the required measurement scheme crucial in defining any such quantity. Quantumness coincides with the previously proposed measures in…

Quantum Physics · Physics 2008-04-20 A. R. Usha Devi , A. K. Rajagopal

We introduce a framework for simulating quantum optics by decomposing the system into a finite rank (number of terms) superposition of coherent states. This allows us to define a resource theory, where linear optical operations are 'free'…

Quantum Physics · Physics 2023-12-19 Jeffrey Marshall , Namit Anand

Gaussian states and measurements collectively are not powerful-enough resources for quantum computing, as any Gaussian dynamics can be simulated efficiently, classically. However, it is known that any one non-Gaussian resource -- either a…

Quantum Physics · Physics 2021-12-17 Christos N. Gagatsos , Saikat Guha

A new approach to quantum gravity is presented based on a nonlinear quantization scheme for canonical field theories with an implicitly defined Hamiltonian. The constant mean curvature foliation is employed to eliminate the momentum…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Charles H-T Wang

We introduce a family of criteria to detect quantum non-Gaussian states of a harmonic oscillator, that is, quantum states that can not be expressed as a convex mixture of Gaussian states. In particular we prove that, for convex mixtures of…

Hidden-variable (HV) theories allege that a quantum state describes an ensemble of systems distinguished by the values of hidden variables. No-go theorems assert that HV theories cannot match the predictions of quantum theory. The present…

Quantum Physics · Physics 2017-07-25 Andreas Blass , Yuri Gurevich

A proposal of how to complete non-relativistic quantum mechanics to a physically meaningful, mathematically precise and logically coherent theory is reviewed. Our proposal leads to a general, non-linear stochastic law for the time-evolution…

Mathematical Physics · Physics 2023-12-05 Jürg Fröhlich , Zhou Gang , Alessandro Pizzo

Quantifying nonclassicality of a bosonic mode is an important but challenge task in quantum optics. Recently, the first nonclassicality measure based on the concept of operational resource theory has been proposed [Phys. Rev. Research 2,…

Quantum Physics · Physics 2020-10-14 Wenchao Ge , M. Suhail Zubairy

Quantum threshold theorems impose hard limits on the hardware capabilities to process quantum information. We derive tight and fundamental upper bounds to loss-tolerance thresholds in different linear-optical quantum information processing…

Quantum Physics · Physics 2023-05-23 Paul Hilaire , Yaron Castor , Edwin Barnes , Sophia E. Economou , Frédéric Grosshans

We investigate which entanglement resources allow universal measurement-based quantum computation via single-qubit operations. We find that any entanglement feature exhibited by the 2D cluster state must also be present in any other…

Quantum Physics · Physics 2007-05-23 Maarten Van den Nest , Akimasa Miyake , Wolfgang Dür , Hans J. Briegel

We defne the resource non-increasing (RNI) framework to study the dynamical resource theory. With such a defnition, we propose several potential quantifcation candidates under various free operation sets. For explicit demonstrations, we…

Quantum Physics · Physics 2023-04-19 Siren Yang , Changshui Yu

In the history of quantum physics several no-go theorems have been proved, and many of them have played a central role in the development of the theory, such as Bell's or the Kochen-Specker theorem. A recent paper by F. Laudisa has raised…

History and Philosophy of Physics · Physics 2019-04-26 Andrea Oldofredi

A brief presentation of the basic concepts in quantum probability theory is given in comparison to the classical one. The notion of quantum white noise, its explicit representation in Fock space, and necessary results of noncommutative…

Quantum Physics · Physics 2007-05-23 V. P. Belavkin

We consider a problem in quantum theory that can be formulated as an optimisation problem and present a global optimisation algorithm for solving it, the foundation of which relies in turn on a theorem from quantum theory. To wit, we…

Quantum Physics · Physics 2007-05-23 Koenraad M. R. Audenaert

The effectiveness of a quantum battery relies on a robust charging process, yet these are often sensitive to initial state of the battery. We introduce the concept of a universally-charging (UC) protocol, defined as one that either…

Quantum Physics · Physics 2025-05-21 Pratik Sathe , Francesco Caravelli

Although universal continuous-variable quantum computation cannot be achieved via linear optics (including squeezing), homodyne detection and feed-forward, inclusion of ideal photon counting measurements overcomes this obstacle. These…

Quantum Physics · Physics 2007-05-23 Stephen D. Bartlett , Barry C. Sanders

Unlike mathematics, in which the notion of truth might be abstract, in physics, the emphasis must be placed on algorithmic procedures for obtaining numerical results subject to the experimental verifiability. For, a physical science is…

Quantum Physics · Physics 2015-12-02 Arkady Bolotin
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