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.
Skip Nav Destination
Article navigation
14 October 2011
QUANTUM COMMUNICATION, MEASUREMENT AND COMPUTING (QCMC): The Tenth International Conference
19–23 July 2010
Brisbane, (Australia)
Research Article|
October 14 2011
The Heisenberg picture for single photon states Available to Purchase
Jacques Pienaar;
Jacques Pienaar
Centre for Quantum Computer Technology, Department of Physics, The University of Queensland, Brisbane 4072 QLD Australia
Search for other works by this author on:
Casey Myers;
Casey Myers
Centre for Quantum Computer Technology, Department of Physics, The University of Queensland, Brisbane 4072 QLD Australia
Search for other works by this author on:
Timothy C. Ralph
Timothy C. Ralph
Centre for Quantum Computer Technology, Department of Physics, The University of Queensland, Brisbane 4072 QLD Australia
Search for other works by this author on:
Jacques Pienaar
Centre for Quantum Computer Technology, Department of Physics, The University of Queensland, Brisbane 4072 QLD Australia
Casey Myers
Centre for Quantum Computer Technology, Department of Physics, The University of Queensland, Brisbane 4072 QLD Australia
Timothy C. Ralph
Centre for Quantum Computer Technology, Department of Physics, The University of Queensland, Brisbane 4072 QLD Australia
AIP Conf. Proc. 1363, 248–251 (2011)
Citation
Jacques Pienaar, Casey Myers, Timothy C. Ralph; The Heisenberg picture for single photon states. AIP Conf. Proc. 14 October 2011; 1363 (1): 248–251. https://doi.org/10.1063/1.3630189
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
18
Views
Citing articles via
The implementation of reflective assessment using Gibbs’ reflective cycle in assessing students’ writing skill
Lala Nurlatifah, Pupung Purnawarman, et al.
Effect of coupling agent type on the self-cleaning and anti-reflective behaviour of advance nanocoating for PV panels application
Taha Tareq Mohammed, Hadia Kadhim Judran, et al.
Design of a 100 MW solar power plant on wetland in Bangladesh
Apu Kowsar, Sumon Chandra Debnath, et al.
Related Content
Event Operators and Quantum Gates
AIP Conf. Proc. (June 2010)
Heisenberg picture approach to the stability of quantum Markov systems
J. Math. Phys. (June 2014)
A new Hamilton operator for a massive relativistic particle with spin one in a generalized Heisenberg/Schrödinger picture
J. Math. Phys. (July 1997)
Simulating quantum circuit expectation values by Clifford perturbation theory
J. Chem. Phys. (April 2025)
Fourth Picture in Quantum Mechanics
J. Chem. Phys. (August 1970)