scholarly journals A note on the Pauli problem in light of approximate joint measurements

2012 ◽  
Vol 376 (35) ◽  
pp. 2372-2376 ◽  
Author(s):  
Jussi Schultz
Keyword(s):  
Pauli Problem

On the Pauli problem

1996 ◽  
Vol 30 (2) ◽  
pp. 138-140 ◽  
Author(s):  
R. S. Ismagilov
Keyword(s):  
Pauli Problem

scholarly journals Pauli problem for a spin of arbitrary length: A simple method to determine its wave function

1992 ◽  
Vol 45 (11) ◽  
pp. 7688-7696 ◽  
Author(s):  
Stefan Weigert
Keyword(s):  
Wave Function ◽  
Simple Method ◽  
Arbitrary Length ◽  
Pauli Problem

The pauli problem, state reconstruction and quantum-real numbers

2006 ◽  
Vol 57 (1) ◽  
pp. 53-68 ◽  
Author(s):  
J.V. Corbett
Keyword(s):  
Real Numbers ◽  
State Reconstruction ◽  
Pauli Problem

scholarly journals From Quantum Probabilities to Quantum Amplitudes

Entropy ◽  
2020 ◽  
Vol 22 (12) ◽  
pp. 1389
Author(s):  
Sofia Martínez-Garaot ◽  
Marisa Pons ◽  
Dmitri Sokolovski
Keyword(s):  
Quantum System ◽  
General Problem ◽  
Weak Measurement ◽  
Level System ◽  
Transition Path ◽  
Initial State ◽  
Quantum Probabilities ◽  
Measurement Limit ◽  
Pauli Problem

The task of reconstructing the system’s state from the measurements results, known as the Pauli problem, usually requires repetition of two successive steps. Preparation in an initial state to be determined is followed by an accurate measurement of one of the several chosen operators in order to provide the necessary “Pauli data”. We consider a similar yet more general problem of recovering Feynman’s transition (path) amplitudes from the results of at least three consecutive measurements. The three-step histories of a pre- and post-selected quantum system are subjected to a type of interference not available to their two-step counterparts. We show that this interference can be exploited, and if the intermediate measurement is “fuzzy”, the path amplitudes can be successfully recovered. The simplest case of a two-level system is analysed in detail. The “weak measurement” limit and the usefulness of the path amplitudes are also discussed.

Pauli problem and related mathematical problems

2008 ◽  
Vol 157 (1) ◽  
pp. 1365-1369 ◽  
Author(s):  
P. A. Belousov ◽  
R. S. Ismagilov
Keyword(s):  
Mathematical Problems ◽  
Pauli Problem

Exact and Gerchberg-Saxton solutions of the one-dimensional Pauli problem with Gaussian probability densities

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Murillo R. Silva ◽  
Alexys Bruno-Alfonso
Keyword(s):  
One Dimensional ◽  
Probability Densities ◽  
The One ◽  
Pauli Problem

scholarly journals The Pauli Problem for Gaussian Quantum States: Geometric Interpretation

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2578
Author(s):  
Maurice A. de Gosson
Keyword(s):  
Fourier Transform ◽  
Uncertainty Principle ◽  
Convex Geometry ◽  
Schur Complement ◽  
Geometric Interpretation ◽  
Quantum States ◽  
Pauli Problem ◽  
Polar Duality

We solve the Pauli tomography problem for Gaussian signals using the notion of Schur complement. We relate our results and method to a notion from convex geometry, polar duality. In our context polar duality can be seen as a sort of geometric Fourier transform and allows a geometric interpretation of the uncertainty principle and allows to apprehend the Pauli problem in a rather simple way.

scholarly journals A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6

2009 ◽  
Vol 42 (24) ◽  
pp. 245305 ◽  
Author(s):  
Philippe Jaming ◽  
Máté Matolcsi ◽  
Péter Móra ◽  
Ferenc Szöllősi ◽  
Mihály Weiner
Keyword(s):  
Infinite Family ◽  
Pauli Problem

A tropical analogue of the Pauli problem and a splitting of quasithermodynamics

2013 ◽  
Vol 88 (1) ◽  
pp. 482-485 ◽  
Author(s):  
Artur E. Ruuge
Keyword(s):  
Pauli Problem

scholarly journals How to determine a quantum state by measurements: The Pauli problem for a particle with arbitrary potential

1996 ◽  
Vol 53 (4) ◽  
pp. 2078-2083 ◽  
Author(s):  
Stefan Weigert
Keyword(s):  
Quantum State ◽  
Arbitrary Potential ◽  
Pauli Problem
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