Finite set of invariants to characterize local Clifford equivalence of stabilizer states
arXiv:quant-ph/0410165 · doi:10.1103/PhysRevA.72.014307
Abstract
The classification of stabilizer states under local Clifford (LC) equivalence is of particular importance in quantum error-correction and measurement-based quantum computation. Two stabilizer states are called LC equivalent if there exists a local Clifford operation which maps the first state to the second. We present a finite set of invariants which completely characterizes the LC equivalence class of any stabilizer state. Our invariants have simple descriptions within the binary framework in which stabilizer states are usually described.
4 pages, replaced with published version
References in corpus (5)
Cited by in corpus (16)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- SIC-POVMs and the Extended Clifford Group
- Local unitary versus local Clifford equivalence of stabilizer states
- Two-setting Bell Inequalities for Graph States
- Optimal preparation of graph states
- Entanglement in eight-qubit graph states
- Tripartite Entanglement in Qudit Stabilizer States and Application in Quantum Error Correction
- Cartoon Computation: Quantum-like computing without quantum mechanics
- Transformations of Stabilizer States in Quantum Networks
- Compact set of invariants characterizing graph states of up to eight qubits
- On Geometric Algebra representation of Binary Spatter Codes
- On the local equivalence of complete bipartite and repeater graph states
- Edge-local equivalence of graphs
- Shor-Laflamme distributions of graph states and noise robustness of entanglement
- The Foliage Partition: An Easy-to-Compute LC-Invariant for Graph States
- Notes on Geometric-Algebra Quantum-Like Algorithms