02.90.+f Foundational issues of quantum mechanics

Propagation of Quantum Walks in Electric Fields

Date: 
2013-10-14 - 2014-01-28
Author(s): 

C. Cedzich, T. Rybár, A. H. Werner, A. Alberti, M. Genske, R. F. Werner

Reference: 

Phys. Rev. Lett. 111, 160601 (2013)

We study one-dimensional quantum walks in a homogenous electric field. The field is given by a phase which depends linearly on position and is applied after each step. The long time propagation properties of this system, such as revivals, ballistic expansion, and Anderson localization, depend very sensitively on the value of the electric field, Φ, e.g., on whether Φ/(2π) is rational or irrational. We relate these properties to the continued fraction expansion of the field.

Proof of Heisenberg's error-disturbance relation

Date: 
2013-10-17 - 2014-01-28
Author(s): 

Paul Busch, Pekka Lahti, Reinhard F. Werner

Reference: 

Physical Review Letters 111, 160405 (2013)

While the slogan “no measurement without disturbance” has established itself under the name of the Heisenberg effect in the consciousness of the scientifically interested public, a precise statement of this fundamental feature of the quantum world has remained elusive, and serious attempts at rigorous formulations of it as a consequence of quantum theory have led to seemingly conflict

Heisenberg uncertainty for qubit measurements

Date: 
2014-01-31 - 2014-06-03
Author(s): 

Paul Busch, Pekka Lahti, Reinhard F. Werner

Reference: 

Phys. Rev. A 89, 012129

Measurement uncertainty relations

Date: 
2014-01-28 - 2014-06-03
Author(s): 

Paul Busch, Pekka Lahti, Reinhard F. Werner

Reference: 

Journal of Mathematical Physics 55, 042111 (2014)
doi: 10.1063/1.4871444

Noise Operators and Measures of RMS Error and Disturbance in Quantum Mechanics

Date: 
2013-12-16 - 2014-01-28
Author(s): 

Paul Busch, Pekka Lahti, Reinhard F. Werner

Reference: 

arXiv: 1312.4393 [quant-ph]

A Snapshot of Foundational Attitudes Toward Quantum Mechanics

Date: 
2013-01-06
Author(s): 

Maximilian Schlosshauer, Johannes Kofler, Anton Zeilinger

Reference: 

arXiv:1301.1069v1

Foundational investigations in quantum mechanics, both experimental and theoretical, gave birth to the field of quantum information science. Nevertheless, the foundations of quantum mechanics themselves remain hotly debated in the scientific community, and no consensus on essential questions has been reached. Here, we present the results of a poll carried out among 33 participants of a conference on the foundations of quantum mechanics. The participants completed a questionnaire containing 16 multiple-choice questions probing opinions on quantum-foundational issues.

The Uncertainty Principle in the Presence of Quantum Memory

Date: 
2010-07-25
Author(s): 

Mario Berta, Matthias Christandl, Roger Colbeck, Joseph M. Renes, Renato Renner

Reference: 

Nature Physics 6, 659-662 (2010)

The uncertainty principle bounds the uncertainties about the outcomes of two incompatible measurements on a particle. However, if the particle is prepared entangled with a quantum memory it is possible to predict the outcomes for both measurement choices precisely. In this work, the authors extend the uncertainty principle to this scenario, providing a lower bound on the uncertainties which depends on the amount of entanglement between the particle and the quantum memory.

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