The Heisenberg picture for single photon states

Pienaar, Jacques, Myers, Casey and Ralph, Timothy C. (2011). The Heisenberg picture for single photon states. In: Timothy Ralph and Ping Koy Lam, Quantum Communication, Measurement and Computing (QCMC): The Tenth International Conference. 10th International Conference on Quantum Communication, Measurement and Computing (QCMC), Brisbane, Australia, (248-251). 19-23 July 2010. doi:10.1063/1.3630189

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Author Pienaar, Jacques
Myers, Casey
Ralph, Timothy C.
Title of paper The Heisenberg picture for single photon states
Conference name 10th International Conference on Quantum Communication, Measurement and Computing (QCMC)
Conference location Brisbane, Australia
Conference dates 19-23 July 2010
Proceedings title Quantum Communication, Measurement and Computing (QCMC): The Tenth International Conference   Check publisher's open access policy
Journal name AIP Conference Proceedings   Check publisher's open access policy
Place of Publication Melville, NY, United States
Publisher American Institute of Physics
Publication Year 2011
Sub-type Fully published paper
DOI 10.1063/1.3630189
ISBN 9780735409217
ISSN 0094-243X
1551-7616
Editor Timothy Ralph
Ping Koy Lam
Volume 1363
Start page 248
End page 251
Total pages 4
Collection year 2012
Language eng
Abstract/Summary In the context of quantum field theory, the Heisenberg picture has a distinct advantage over the Schrodinger picture because the Schrodinger picture requires us to transform the vacuum state itself, which can be intractable in the case of non‐inertial reference frames, whereas the Heisenberg picture allows us to keep the same vacuum state and only transform the operators. However, the Heisenberg calculation requires the operators to already be expressed as a function of creation and annihilation operators acting on the original vacuum, whereas calculations in quantum information and quantum computation use operators that act on qubit states, necessarily containing particles. The relationship between the operators acting on these states and the operators acting on the vacuum state has remained elusive. We derive such an expression using an explicit model for single‐particle production from the vacuum.
Keyword Quantum information
Quantum optics
Single photons
Q-Index Code E1
Q-Index Status Confirmed Code
Institutional Status UQ

 
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