Quantum Indistinguishability of Random Sponges

Author(s):  
Jan Czajkowski ◽  
Andreas Hülsing ◽  
Christian Schaffner
2022 ◽  
Vol 47 (1) ◽  
Author(s):  
Enric Pérez ◽  
Joana Ibáñez

AbstractIn this paper, we deal with the historical origins of Fermi–Dirac statistics, focusing on the contribution by Enrico Fermi of 1926. We argue that this statistics, as opposed to that of Bose–Einstein, has been somewhat overlooked in the usual accounts of the old quantum theory. Our main objective is to offer a critical analysis of Fermi’s seminal paper and its immediate impact. Secondly, we are also interested in assessing the status of the particle concept in the years 1926–1927, especially regarding the germ of quantum indistinguishability. We will see, for example, that the first applications of the Fermi–Dirac statistics to the study of metals or stellar matter had a technical nature, and that their main instigators barely touched upon interpretative matters. Finally, we will discuss the reflections and remarks made in these respects in two famous events in physics of 1927, the Como conference and the fifth Solvay congress.


1994 ◽  
Vol 27 (1) ◽  
pp. 7-12 ◽  
Author(s):  
G. Q Pellegrino ◽  
K Furuya ◽  
M. C Nemes ◽  
S. Pinto de Carvalho

2004 ◽  
Vol 45 (4) ◽  
pp. 1332-1358 ◽  
Author(s):  
J. M. Harrison ◽  
J. M. Robbins

1999 ◽  
Vol 60 (8) ◽  
pp. 5786-5790 ◽  
Author(s):  
Kai Shum ◽  
P. M. Mooney ◽  
J. O. Chu

2021 ◽  
Author(s):  
Vasil Dinev Penchev

The paper investigates the understanding of quantum indistinguishability afterquantum information in comparison with the “classical” quantum mechanics based on theseparable complex Hilbert space. The two oppositions, correspondingly “distinguishability/ indistinguishability” and “classical / quantum”, available implicitly in the concept of quantumindistinguishability can be interpreted as two “missing” bits of classical information, whichare to be added after teleportation of quantum information to be restored the initial stateunambiguously. That new understanding of quantum indistinguishability is linked to thedistinction of classical (Maxwell-Boltzmann) versus quantum (either Fermi-Dirac orBose-Einstein) statistics. The latter can be generalized to classes of wave functions (“empty” qubits) and represented exhaustively in Hilbert arithmetic therefore connectible to the foundations of mathematics, more precisely, to the interrelations of propositional logic and set theory sharing the structure of Boolean algebra and two anti-isometric copies of Peano arithmetic.


Author(s):  
David Branning ◽  
Warren Grice ◽  
Reinhardt Erdmann ◽  
Ian Walmsley

2013 ◽  
Vol 12 (04) ◽  
pp. 1350020 ◽  
Author(s):  
H. AKSHATA SHENOY ◽  
R. SRIKANTH ◽  
T. SRINIVAS

In this paper, we propose a quantum method for generation of random numbers based on bosonic stimulation. Randomness arises through the path-dependent indeterministic amplification of two competing bosonic modes. We show that the process provides an efficient method for macroscopic extraction of microscopic randomness.


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