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Quantum Reports, Volume 5, Issue 2

2023 June - 13 articles

Cover Story: We investigated a three-level system in the context of the fractional Schrödinger equation by considering fractional differential operators in time and space, which promote anomalous relaxations and spreading of the wave packet. Our results show a wide variety of behaviors connected to fractional operators, such as the non-conservation of probability and the anomalous spread of the wave packet. View this paper
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Articles (13)

  • Article
  • Open Access
7 Citations
5,488 Views
16 Pages

Teleportation Revealed

  • Charles Alexandre Bédard

13 June 2023

Quantum teleportation is the name of a problem: How can the real-valued parameters encoding the state at Alice’s location make their way to Bob’s location via shared entanglement and only two bits of classical communication? Without an explanation, t...

(This article belongs to the Special Issue The Many-Worlds Interpretation of Quantum Mechanics)
  • Article
  • Open Access
8 Citations
8,038 Views
14 Pages

12 June 2023

The Born probability measure describes the statistics of measurements in which observers self-locate themselves in some region of reality. In ψ-ontic quantum theories, reality is directly represented by the wavefunction. We show that quantum...

(This article belongs to the Special Issue The Many-Worlds Interpretation of Quantum Mechanics)
  • Article
  • Open Access
1 Citations
3,366 Views
15 Pages

6 June 2023

In a sequence of papers, Marian Kupczynski has argued that Bell’s theorem can be circumvented if one takes correct account of contextual setting-dependent parameters describing measuring instruments. We show that this is not true. Despite first...

  • Opinion
  • Open Access
5 Citations
10,769 Views
6 Pages

6 June 2023

In this paper, I would like to outline what I think is the most natural interpretation of quantum mechanics. By natural, I simply mean that it requires the least amount of excess baggage and that it is universal in the sense that it can be consistent...

(This article belongs to the Special Issue The Many-Worlds Interpretation of Quantum Mechanics)
  • Article
  • Open Access
13 Citations
3,030 Views
16 Pages

Hydrogen-like Plasmas under Endohedral Cavity

  • Saptarshi Chowdhury,
  • Neetik Mukherjee and
  • Amlan K. Roy

30 May 2023

Over the past few decades, confined quantum systems have emerged to be a subject of considerable importance in physical, chemical and biological sciences. Under such stressed conditions, they display many fascinating and notable physical and chemical...

(This article belongs to the Topic Theoretical, Quantum and Computational Chemistry)
  • Article
  • Open Access
7 Citations
4,360 Views
17 Pages

Anomalous Relaxation and Three-Level System: A Fractional Schrödinger Equation Approach

  • Ervin K. Lenzi,
  • Enrique C. Gabrick,
  • Elaheh Sayari,
  • Antonio S. M. de Castro,
  • José Trobia and
  • Antonio M. Batista

26 May 2023

We investigate a three-level system in the context of the fractional Schrödinger equation by considering fractional differential operators in time and space, which promote anomalous relaxations and spreading of the wave packet. We first consider...

  • Article
  • Open Access
3 Citations
2,727 Views
16 Pages

22 May 2023

In a known gedanken experiment, a delocalized mass is recombined while the gravitational field sourced by it is probed by another (distant) particle; in it, this is used to explore a possible tension between complementarity and causality in case the...

  • Article
  • Open Access
7 Citations
4,051 Views
8 Pages

The Open Systems View and the Everett Interpretation

  • Michael E. Cuffaro and
  • Stephan Hartmann

28 April 2023

It is argued that those who defend the Everett, or ‘many-worlds’, interpretation of quantum mechanics should embrace what we call the general quantum theory of open systems (GT) as the proper framework in which to conduct foundational and...

(This article belongs to the Special Issue The Many-Worlds Interpretation of Quantum Mechanics)
  • Article
  • Open Access
4 Citations
6,893 Views
11 Pages

26 April 2023

A longstanding issue in the Everettian (Many-Worlds) interpretation is to justify and make sense of the Born rule that underlies the statistical predictions of standard quantum mechanics. The paper offers a reappraisal of Everett’s original acc...

(This article belongs to the Special Issue The Many-Worlds Interpretation of Quantum Mechanics)
  • Article
  • Open Access
2 Citations
3,491 Views
9 Pages

23 April 2023

The Leggett–Garg Inequality (LGI) constrains, under certain fundamental assumptions, the correlations between measurements of a quantity Q at different times. Here, we analyze the LGI and propose similar but somewhat more elaborate inequalities...

  • Article
  • Open Access
3 Citations
4,889 Views
28 Pages

The Laplace Method for Energy Eigenvalue Problems in Quantum Mechanics

  • Jeremy Canfield,
  • Anna Galler and
  • James K. Freericks

20 April 2023

Quantum mechanics has about a dozen exactly solvable potentials. Normally, the time-independent Schrödinger equation for them is solved by using a generalized series solution for the bound states (using the Fröbenius method) and then an ana...

  • Review
  • Open Access
3 Citations
4,299 Views
25 Pages

18 April 2023

In this work, an alternative attempt to motivate the Many-Worlds Interpretation (MWI) is undertaken. The usual way of arguing for MWI mostly revolves around how it might solve the measurement problem in a more straightforward and concise manner than...

(This article belongs to the Special Issue The Many-Worlds Interpretation of Quantum Mechanics)
  • Article
  • Open Access
5 Citations
3,595 Views
20 Pages

Tuning Logical Phi-Bit State Vectors in an Externally Driven Nonlinear Array of Acoustic Waveguides via Drivers’ Phase

  • Pierre A. Deymier,
  • Keith Runge,
  • M. Arif Hasan,
  • Trevor D. Lata and
  • Josh A. Levine

6 April 2023

We experimentally navigate the Hilbert space of two logical phi-bits supported by an externally driven nonlinear array of coupled acoustic waveguides by parametrically changing the relative phase of the drivers. We observe sharp phase jumps of approx...

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Quantum Rep. - ISSN 2624-960X