Local unitary versus local Clifford equivalence of stabilizer states

Journal Article · Wed Jun 15 00:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.062323· OSTI ID:20717888

Nest, Maarten van den; Dehaene, Jeroen; Moor, Bart de ^[1]

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1. ESAT-SCD, K.U. Leuven, Kasteelpark Arenberg 10, B-3001 Leuven (Belgium)

We study the relation between local unitary (LU) equivalence and local Clifford (LC) equivalence of stabilizer states. We introduce a large subclass of stabilizer states, such that every two LU equivalent states in this class are necessarily LC equivalent. Together with earlier results, this shows that LC, LU, and stochastic local operation with classical communication equivalence are the same notions for this class of stabilizer states. Moreover, recognizing whether two given stabilizer states in the present subclass are locally equivalent only requires a polynomial number of operations in the number of qubits.

• OSTI ID: 20717888
• Journal Information: Physical Review. A, Vol. 71, Issue 6; Other Information: DOI: 10.1103/PhysRevA.71.062323; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
DATA TRANSMISSION
ENERGY LEVELS
OPERATION
POLYNOMIALS
QUANTUM COMPUTERS
QUANTUM MECHANICS
QUBITS
STOCHASTIC PROCESSES