Abstract
Quantum walks on a line with a single particle possess a classical analogue. Involving more walkers opens up the possibility of studying collective quantum effects, such as many-particle correlations. In this context, entangled initial states and the indistinguishability of the particles play a role. We consider the directional correlations between two particles performing a quantum walk on a line. For non-interacting particles, we find analytic asymptotic expressions and give the limits of directional correlations. We show that by introducing delta-interaction between the particles, one can exceed the limits for non-interacting particles.
| Language | English |
|---|---|
| Article number | 033029 |
| Number of pages | 19 |
| Journal | New Journal of Physics |
| Volume | 13 |
| DOIs | |
| Publication status | Published - 21 Mar 2011 |
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Keywords
- algorithms
- search
- computational physics
- quantum information
Cite this
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Directional correlations in quantum walks with two particles. / Štefaňák, M.; Barnett, S M; Kollár, B; Kiss, T; Jex, I.
In: New Journal of Physics, Vol. 13, 033029, 21.03.2011.Research output: Contribution to journal › Article
TY - JOUR
T1 - Directional correlations in quantum walks with two particles
AU - Štefaňák, M.
AU - Barnett, S M
AU - Kollár, B
AU - Kiss, T
AU - Jex, I
PY - 2011/3/21
Y1 - 2011/3/21
N2 - Quantum walks on a line with a single particle possess a classical analogue. Involving more walkers opens up the possibility of studying collective quantum effects, such as many-particle correlations. In this context, entangled initial states and the indistinguishability of the particles play a role. We consider the directional correlations between two particles performing a quantum walk on a line. For non-interacting particles, we find analytic asymptotic expressions and give the limits of directional correlations. We show that by introducing delta-interaction between the particles, one can exceed the limits for non-interacting particles.
AB - Quantum walks on a line with a single particle possess a classical analogue. Involving more walkers opens up the possibility of studying collective quantum effects, such as many-particle correlations. In this context, entangled initial states and the indistinguishability of the particles play a role. We consider the directional correlations between two particles performing a quantum walk on a line. For non-interacting particles, we find analytic asymptotic expressions and give the limits of directional correlations. We show that by introducing delta-interaction between the particles, one can exceed the limits for non-interacting particles.
KW - algorithms
KW - search
KW - computational physics
KW - quantum information
UR - http://www.scopus.com/inward/record.url?scp=79953782695&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/13/3/033029
DO - 10.1088/1367-2630/13/3/033029
M3 - Article
VL - 13
JO - New Journal of Physics
T2 - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
M1 - 033029
ER -