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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 Lab. (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, Journal Name: Physical Review A - Atomic, Molecular, and Optical Physics Journal Issue: 6 Vol. 91; ISSN 1050-2947
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (2)

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

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Related Subjects

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