Quantum Studies: Mathematics and Foundations
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A new class of superoscillatory functions based on a generalized polar coordinate system
Quantum Studies: Mathematics and Foundations - Tập 7 - Trang 307-313 - 2020
Is it possible for a band-limited signal to possess oscillation that is arbitrarily higher than its highest Fourier component? Common knowledge assumed that the answer is ‘No.’ Counterintuitively, it turns out that there are band-limited functions that are able to oscillate arbitrarily faster than their fastest Fourier components. These are the superoscillatory functions. Since their discovery, su......
Preface to 2nd issue of Quantum Studies: Mathematics and Foundations
Quantum Studies: Mathematics and Foundations - Tập 1 - Trang 165-165 - 2014
Entanglement concentration of multi-qubit entangled states: an IBM quantum experience
Quantum Studies: Mathematics and Foundations - - 2023
The notion of a random gauge and its interpretation
Quantum Studies: Mathematics and Foundations - Tập 1 - Trang 147-154 - 2014
We introduce the concept of a random gauge. We propose two distinct types of random gauge that can be defined based on the concept of phase noise in scattering theory. In the context of quantum physics, we discuss a variety of possible realizations of this concept that can be connected to various Aharonov-other effects and make some connections with relativity as well.
Weak covariance and the correlation of an observable with pre-selected and post-selected state energies during its time-dependent weak value measurement
Quantum Studies: Mathematics and Foundations - Tập 5 - Trang 455-461 - 2018
The peculiar weak energy of evolution appears as a factor in the equation of motion
$$ \dot{A}_{w}$$
for a time-dependent weak value of an observable
$$\hat{A}$$
......
On the nature of the Sommerfeld–Brillouin forerunners (or precursors)
Quantum Studies: Mathematics and Foundations - - 2020
The generalized Heisenberg group arising from Weyl relations
Quantum Studies: Mathematics and Foundations - Tập 2 - Trang 449-466 - 2015
In this paper, we introduce the generalized Weyl operators canonically associated with the one-mode oscillator Lie algebra as unitary operators acting on the bosonic Fock space
$$\Gamma ({\mathbb {C}})$$
. Next, we establish the generalized Weyl r......
Quantum cryptography based on an algorithm for determining simultaneously all the mappings of a Boolean function
Quantum Studies: Mathematics and Foundations - - 2023
We study a quantum cryptography based on an algorithm for determining simultaneously all the mappings of a Boolean function using an entangled state. The security of our cryptography is based on the Ekert 1991 protocol, which uses an entangled state. Eavesdropping destroys the entanglement. Alice selects a secret function from the number of possible function types. Bob’s aim is then to determine t......
Are interacting systems norm asymptotic abelian?
Quantum Studies: Mathematics and Foundations - Tập 2 - Trang 417-433 - 2015
We consider infinite Fermi systems for which time evolution is defined as automorphism group. Under appropriate assumptions quasifree evolutions are norm asymptotic abelian on the even subalgebra. If interaction is added in the ground state strong asymptotic abelianess is preserved. In the tracial state, however, it is argued that for appropriate interacting systems even strong asymptotic abeliane......
The Rabi model gives off a flavor of spontaneous SUSY breaking
Quantum Studies: Mathematics and Foundations - Tập 2 - Trang 379-388 - 2015
In this paper, we handle a two-level atom and a one-mode light primarily in SUSY state, and point out that an interaction between them brings them on a path to spontaneous SUSY breaking. That is, we prove that the Rabi model describing a qubit coupled with a one-mode light in a cavity takes the
$$N=2$$
......
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