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

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:
 [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
Publication Date:
OSTI Identifier:
1286730
Grant/Contract Number:
AC05-00OR22725
Type:
Accepted Manuscript
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 91; Journal Issue: 6; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Research Org:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org:
USDOE
Contributing Orgs:
AFRL Information Directorate, Rome, NY (United States); Tulane Univ., New Orleans, LA (United States)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS