Photodissociation dynamics in quantum state‐selected clusters: A test of the one‐atom cage effect in Ar–H2O

1994 ◽  
Vol 101 (7) ◽  
pp. 6356-6358 ◽  
Author(s):  
David F. Plusquellic ◽  
Ondrej Votava ◽  
David J. Nesbitt
Keyword(s):  
Quantum State ◽  
Cage Effect ◽  
The One

The one-atom cage effect in I2(B)–Ar: Evidence that caging is inefficient for the T-shaped isomer

1999 ◽  
Vol 111 (6) ◽  
pp. 2478-2483 ◽  
Author(s):  
Amy Burroughs ◽  
Todd Van Marter ◽  
Michael C. Heaven
Keyword(s):  
Cage Effect ◽  
The One

scholarly journals The Modal-Hamiltonian Interpretation of Quantum Mechanics as a Kind of “Atomic” Interpretation

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Juan Sebastián Ardenghi ◽  
Olimpia Lombardi
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Quantum State ◽  
The Other ◽  
Interpretation Of Quantum Mechanics ◽  
Modal Interpretation ◽  
Atomic Systems ◽  
Modal Interpretations ◽  
The One ◽  
The Relationship

Modal interpretations are non-collapse interpretations, where the quantum state of a system describes its possible properties rather than the properties that it actually possesses. Among them, the atomic modal interpretation (AMI) assumes the existence of a special set of disjoint systems that fixes the preferred factorization of the Hilbert space. The aim of this paper is to analyze the relationship between the AMI and our recently presented modal-hamiltonian interpretation (MHI), by showing that the MHI can be viewed as a kind of “atomic” interpretation in two different senses. On the one hand, the MHI provides a precise criterion for the preferred factorization of the Hilbert space into factors representing elemental systems. On the other hand, the MHI identifies the atomic systems that represent elemental particles on the basis of the Galilei group. Finally, we will show that the MHI also introduces a decomposition of the Hilbert space of any elemental system, which determines with precision what observables acquire definite actual values.

scholarly journals All macroscopic quantum states are fragile and hard to prepare

Quantum ◽  
2019 ◽  
Vol 3 ◽  
pp. 118
Author(s):  
Andrea López-Incera ◽  
Pavel Sekatski ◽  
Wolfgang Dür
Keyword(s):  
Quantum State ◽  
Quantum Fisher Information ◽  
System Size ◽  
Quantum States ◽  
Initial State ◽  
Macroscopic Quantum ◽  
Effective System ◽  
Local Observables ◽  
The One ◽  
Arbitrary Quantum

We study the effect of local decoherence on arbitrary quantum states. Adapting techniques developed in quantum metrology, we show that the action of generic local noise processes --though arbitrarily small-- always yields a state whose Quantum Fisher Information (QFI) with respect to local observables is linear in system size N, independent of the initial state. This implies that all macroscopic quantum states, which are characterized by a QFI that is quadratic in N, are fragile under decoherence, and cannot be maintained if the system is not perfectly isolated. We also provide analytical bounds on the effective system size, and show that the effective system size scales as the inverse of the noise parameter p for small p for all the noise channels considered, making it increasingly difficult to generate macroscopic or even mesoscopic quantum states. In turn, we also show that the preparation of a macroscopic quantum state, with respect to a conserved quantity, requires a device whose QFI is already at least as large as the one of the desired state. Given that the preparation device itself is classical and not a perfectly isolated macroscopic quantum state, the preparation device needs to be quadratically bigger than the macroscopic target state.

Quantum-state reconstruction in the one-atom maser

1998 ◽  
Vol 57 (2) ◽  
pp. 1371-1378 ◽  
Author(s):  
C. T. Bodendorf ◽  
G. Antesberger ◽  
M. S. Kim ◽  
H. Walther
Keyword(s):  
Quantum State ◽  
State Reconstruction ◽  
Quantum State Reconstruction ◽  
The One

About Weyl and Wigner Tomography in Finite-Dimensional Hilbert Spaces

2006 ◽  
Vol 13 (04) ◽  
pp. 403-413 ◽  
Author(s):  
Thomas Durt
Keyword(s):  
Quantum State ◽  
Hilbert Spaces ◽  
Higher Dimensions ◽  
Point Of View ◽  
Finite Dimensional ◽  
Complete Knowledge ◽  
Unknown Quantum State ◽  
The One ◽  
First Time

We study different techniques that allow us to gain complete knowledge about an unknown quantum state, e.g. to perform full tomography of this state. In a first time, we focus on two simple cases, full tomography of one- and two-qubit systems. We analyze and compare those techniques according to two criteria. Our first criterion is the minimisation of the redundancy of the data acquired during the tomographic process. In the case of two-qubits tomography, we also analyze this process from the point of view of factorisability, so to say we analyze the possibility to realise the tomographic process through local operations and classical communications between local observers. Finally, we present new results that concern the extension of the one- and two-qubit cases to higher dimensions.

Limits on entropic uncertainty relations

2010 ◽  
Vol 10 (9&10) ◽  
pp. 848-858
Author(s):  
Andris Ambainis
Keyword(s):  
Quantum State ◽  
Uncertainty Relation ◽  
Mutually Unbiased Bases ◽  
Uncertainty Relations ◽  
Entropic Uncertainty Relations ◽  
Entropic Uncertainty Relation ◽  
Standard Construction ◽  
The One ◽  
Prime Dimension ◽  
Better Than

We consider entropic uncertainty relations for outcomes of the measurements of a quantum state in 3 or more mutually unbiased bases (MUBs), chosen from the standard construction of MUBs in prime dimension. We show that, for any choice of 3 MUBs and at least one choice of a larger number of MUBs, the best possible entropic uncertainty relation can be only marginally better than the one that trivially follows from the relation by Maassen and Uffink for 2 bases.

Time-dependent wave packet study of the one atom cage effect in I2–Ar Van der Waals complexes

1999 ◽  
Vol 110 (2) ◽  
pp. 960-965 ◽  
Author(s):  
S. Zamith ◽  
C. Meier ◽  
N. Halberstadt ◽  
J. A. Beswick
Keyword(s):  
Wave Packet ◽  
Van Der Waals ◽  
Time Dependent ◽  
Van Der Waals Complexes ◽  
Cage Effect ◽  
The One

scholarly journals Quantum-state estimation problem via optimal design of experiments

2021 ◽  
pp. 2040007
Author(s):  
Jun Suzuki
Keyword(s):  
Optimal Design ◽  
Design Of Experiments ◽  
State Estimation ◽  
Quantum State ◽  
Optimality Criteria ◽  
Estimation Problem ◽  
Optimal Designs ◽  
Optimal Design Of Experiments ◽  
Quantum State Estimation ◽  
The One

In this paper, we study the quantum-state estimation problem in the framework of optimal design of experiments. We first find the optimal designs about arbitrary qubit models for popular optimality criteria such as [Formula: see text]-, [Formula: see text]-, and [Formula: see text]-optimal designs. We also give the one-parameter family of optimality criteria which includes these criteria. We then extend a classical result in the design problem, the Kiefer–Wolfowitz theorem, to a qubit system showing the [Formula: see text]-optimal design which is equivalent to a certain type of the [Formula: see text]-optimal design. We next compare and analyze several optimal designs based on the efficiency. We explicitly demonstrate that an optimal design for a certain criterion can be highly inefficient for other optimality criteria.

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