Optimal mode transformations for linear-optical cluster-state generation
Abstract
In this paper, we analyze the generation of linear-optical cluster states (LOCSs) via sequential addition of one and two qubits. Existing approaches employ the stochastic linear-optical two-qubit controlled-Z (CZ) gate with success rate of 1/9 per operation. The question of optimality of the CZ gate with respect to LOCS generation has remained open. We report that there are alternative schemes to the CZ gate that are exponentially more efficient and show that sequential LOCS growth is indeed globally optimal. We find that the optimal cluster growth operation is a state transformation on a subspace of the full Hilbert space. Finally, we show that the maximal success rate of postselected entangling n photonic qubits or m Bell pairs into a cluster is (1/2)n-1 and (1/4)m-1, respectively, with no ancilla photons, and we give an explicit optical description of the optimal mode transformations.
- Authors:
-
- Brescia Univ., Owensboro, KY (United States). Dept. of Mathematics and Natural Sciences; Tulane Univ., New Orleans, LA (United States). Dept. of Physics and Engineering Physics
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Quantum Information Science Group
- AFRL Information Directorate, Rome, NY (United States). Air Force Research Lab.
- Tulane Univ., New Orleans, LA (United States). Dept. of Physics and Engineering Physics
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE
- Contributing Org.:
- AFRL Information Directorate, Rome, NY (United States); Tulane Univ., New Orleans, LA (United States)
- OSTI Identifier:
- 1286730
- Alternate Identifier(s):
- OSTI ID: 1184700
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A - Atomic, Molecular, and Optical Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 6; Journal ID: ISSN 1050-2947
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Uskov, Dmitry B., Lougovski, Pavel, Alsing, Paul M., Fanto, Michael L., Kaplan, Lev, and Smith, Amos Matthew. Optimal mode transformations for linear-optical cluster-state generation. United States: N. p., 2015.
Web. doi:10.1103/PhysRevA.91.062318.
Uskov, Dmitry B., Lougovski, Pavel, Alsing, Paul M., Fanto, Michael L., Kaplan, Lev, & Smith, Amos Matthew. Optimal mode transformations for linear-optical cluster-state generation. United States. https://doi.org/10.1103/PhysRevA.91.062318
Uskov, Dmitry B., Lougovski, Pavel, Alsing, Paul M., Fanto, Michael L., Kaplan, Lev, and Smith, Amos Matthew. Mon .
"Optimal mode transformations for linear-optical cluster-state generation". United States. https://doi.org/10.1103/PhysRevA.91.062318. https://www.osti.gov/servlets/purl/1286730.
@article{osti_1286730,
title = {Optimal mode transformations for linear-optical cluster-state generation},
author = {Uskov, Dmitry B. and Lougovski, Pavel and Alsing, Paul M. and Fanto, Michael L. and Kaplan, Lev and Smith, Amos Matthew},
abstractNote = {In this paper, we analyze the generation of linear-optical cluster states (LOCSs) via sequential addition of one and two qubits. Existing approaches employ the stochastic linear-optical two-qubit controlled-Z (CZ) gate with success rate of 1/9 per operation. The question of optimality of the CZ gate with respect to LOCS generation has remained open. We report that there are alternative schemes to the CZ gate that are exponentially more efficient and show that sequential LOCS growth is indeed globally optimal. We find that the optimal cluster growth operation is a state transformation on a subspace of the full Hilbert space. Finally, we show that the maximal success rate of postselected entangling n photonic qubits or m Bell pairs into a cluster is (1/2)n-1 and (1/4)m-1, respectively, with no ancilla photons, and we give an explicit optical description of the optimal mode transformations.},
doi = {10.1103/PhysRevA.91.062318},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 6,
volume = 91,
place = {United States},
year = {Mon Jun 15 00:00:00 EDT 2015},
month = {Mon Jun 15 00:00:00 EDT 2015}
}
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Works referencing / citing this record:
Frequency-encoded photonic qubits for scalable quantum information processing
text, January 2016
- Lukens, Joseph M.; Lougovski, Pavel
- arXiv