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19962022
most citedWigner Functions for Arbitrary Quantum Systems

127 citations · 336 across the 16 of their papers we have counts for

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16 papers

quant-ph2022★ 6 cited

Generalized Phase-Space Techniques to Explore Quantum Phase Transitions in Critical Quantum Spin Systems

N. M. Millen, R. P. Rundle, J. H. Samson +3

We apply the generalized Wigner function formalism to detect and characterize a range of quantum phase transitions in several cyclic, finite-length, spin- one-dimensio…

quant-ph2017★ 7 cited

On quantum invariants and the graph isomorphism problem

P. W. Mills, R. P. Rundle, J. H. Samson +4

Three new graph invariants are introduced which may be measured from a quantum graph state and form examples of a framework under which other graph invariants can be constructed. E…

quant-ph2017★ 43 cited

A general approach to quantum mechanics as a statistical theory

R. P. Rundle, Todd Tilma, J. H. Samson +3

Since the very early days of quantum theory there have been numerous attempts to interpret quantum mechanics as a statistical theory. This is equivalent to describing quantum state…

quant-ph2016★ 73 cited

Quantum phase space measurement and entanglement validation made easy

R. P. Rundle, P. W. Mills, Todd Tilma +2

It has recently been shown that it is possible to represent the complete quantum state of any system as a phase-space quasi-probability distribution (Wigner function) [Phys Rev Let…

quant-ph2016★ 5 cited

Some implications of superconducting quantum interference to the application of master equations in engineering quantum technologies

S. N. A. Duffus, K. N. Bjergstrøm, V. M. Dwyer +6

In this paper we consider the modelling and simulation of open quantum systems from a device engineering perspective. We derive master equations at different levels of approximatio…

quant-ph2016★ 127 cited

Wigner Functions for Arbitrary Quantum Systems

Todd Tilma, Mark J. Everitt, John H. Samson +2

The possibility of constructing a complete, continuous Wigner function for any quantum system has been a subject of investigation for over 50 years. A key system that has served to…