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Title: Optimal mode transformations for linear-optical cluster-state generation

Journal Article · · Physical Review A - Atomic, Molecular, and Optical Physics
 [1];  [2];  [3];  [3];  [4];  [2]
  1. 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
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Quantum Information Science Group
  3. AFRL Information Directorate, Rome, NY (United States). Air Force Research Lab.
  4. Tulane Univ., New Orleans, LA (United States). Dept. of Physics and Engineering Physics
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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.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
Contributing Organization:
AFRL Information Directorate, Rome, NY (United States); Tulane Univ., New Orleans, LA (United States)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1286730
Alternate ID(s):
OSTI ID: 1184700
Journal Information:
Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Issue 6; ISSN 1050-2947
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (19)

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Linear Optics Controlled-Phase Gate Made Simple journal November 2005
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Generic two-qubit photonic gates implemented by number-resolving photodetection journal January 2010
Maximal success probabilities of linear-optical quantum gates journal April 2009
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Experimental Implementation of the Optimal Linear-Optical Controlled Phase Gate journal January 2011
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Scalable Generation of Graph-State Entanglement Through Realistic Linear Optics journal October 2006
Cluster state preparation using gates operating at arbitrary success probabilities journal June 2007

Cited By (1)

Frequency-encoded photonic qubits for scalable quantum information processing text January 2016

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Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS