424 citations · 593 across the 27 of their papers we have counts for
18 papers · 1 filter
The Discretized Adiabatic Theorem
Bernhard K. Meister
A discretized version of the adiabatic theorem is described with the help of a rule relating a Hermitian operator to its expectation value and variance. The simple initial operator…
Particle in infinite potential well with variable walls
Bernhard K. Meister
A Gedanken experiment is described to explore a counter-intuitive property of quantum mechanics. A particle is placed in a one-dimensional infinite well. The barrier on one side of…
Features of Quantum Mechanics on a Ring
Bernhard K. Meister
Aspects of quantum mechanics on a ring are studied. Either one or two impenetrable barriers are inserted at nodal and non-nodal points to turn the ring into either one or two infin…
The Helstrom Bound
Bernhard K. Meister
Quantum state discrimination between two wave functions on a ring is considered. The optimal minimum-error probability is known to be given by the Helstrom bound. A new strategy is…
Minimum Decision Cost for Operators
Bernhard K. Meister
State discrimination with the aim to minimize the error probability is a well studied problem. Instead, here the binary decision problem for operators with a given prior is investi…
The Bayes cost in the binary decision problem
Bernhard K. Meister
The problem of quantum state discrimination between two wave functions on a ring is considered. The optimal minimum-error probability is known to be given by the Helstrom bound. A…
Reexamination of the optimal Bayes cost in the binary decision problem
Bernhard K. Meister
The problem of quantum state discrimination between two wave functions of a particle in a square well potential is considered. The optimal minimum-error probability is known to be…
Another look at the optimal Bayes cost in the binary decision problem
Bernhard K. Meister
The problem of quantum state discrimination between two wave functions of a particle in a square well potential is considered. The optimal minimum-error probability for the state d…
Comment on the Quantum Brachistochrone Problem
C. M. Bender, D. C. Brody, H. F. Jones +1
In this brief comment we attempt to clarify the apparent discrepancy between the papers [1] and [2] on the quantum brachistochrone, namely whether it is possible to use a judicious…
Quantum Limits of Measurements Induced by Multiplicative Conservation Laws: Extension of the Wigner-Araki-Yanase Theorem
Gen Kimura, Bernhard K. Meister, Masanao Ozawa
The Wigner-Araki-Yanase (WAY) theorem shows that additive conservation laws limit the accuracy of measurements. Recently, various quantitative expressions have been found for quant…
The Lueders Postulate and the Distinguishability of Observables
Bernhard K. Meister
The Lueders postulate is reviewed and implications for the distinguishability of observables are discussed. As an example the distinguishability of two similar observables for spin…
An Extension of the Wigner-Araki-Yanase Theorem to Multiplicative Conserved Quantities
Bernhard K. Meister
An extension of the Wigner-Araki-Yanase theorem to multiplicative conserved quantities is presented and approximate versions of the theorem are discussed.
Faster than Hermitian Quantum Mechanics
Carl M. Bender, Dorje C. Brody, Hugh F. Jones +1
Given an initial quantum state |psi_I> and a final quantum state |psi_F> in a Hilbert space, there exist Hamiltonians H under which |psi_I> evolves into |psi_F>. Consider the follo…
Combinatorics and field theory
Carl M. Bender, Dorje C. Brody, Bernhard K. Meister
For any given sequence of integers there exists a quantum field theory whose Feynman rules produce that sequence. An example is illustrated for the Stirling numbers. The method emp…
Implications of the Luders Postulate for Quantum Algorithms
Bernhard K. Meister
The Luders postulate is reviewed and implications for quantum algorithms are discussed. A search algorithm for an unstructured database is described.
Unusual quantum states: nonlocality, entropy, Maxwell's daemon, and fractals
Carl M. Bender, Dorje C. Brody, Bernhard K. Meister
This paper analyses the mathematical properties of some unusual quantum states that are constructed by inserting an impenetrable barrier into a chamber confining a single particle.
Quantised Three-Pillar Problem
Carl M. Bender, Dorje C. Brody, Bernhard K. Meister
This paper examines the quantum mechanical system that arises when one quantises a classical mechanical configuration described by an underdetermined system of equations. Specifica…
Entropy and Temperature of a Quantum Carnot Engine
C. M. Bender, D. C. Brody, B. K. Meister
It is possible to extract work from a quantum-mechanical system whose dynamics is governed by a time-dependent cyclic Hamiltonian. An energy bath is required to operate such a quan…