Embedding Quantum Simulators for Quantum Computation of Entanglement
arXiv:1306.0510 · doi:10.1103/PhysRevLett.111.240502
Abstract
We introduce the concept of embedding quantum simulators, a paradigm allowing the efficient quantum computation of a class of bipartite and multipartite entanglement monotones. It consists in the suitable encoding of a simulated quantum dynamics in the enlarged Hilbert space of an embedding quantum simulator. In this manner, entanglement monotones are conveniently mapped onto physical observables, overcoming the necessity of full tomography and reducing drastically the experimental requirements. Furthermore, this method is directly applicable to pure states and, assisted by classical algorithms, to the mixed-state case. Finally, we expect that the proposed embedding framework paves the way for a general theory of enhanced one-to-one quantum simulators.
5 pages, 2 figures
References in corpus (7)
- Scalable multi-particle entanglement of trapped ions
- 14-qubit entanglement: creation and coherence
- Constructing N-qubit entanglement monotones from anti-linear operators
- Path Entanglement of Continuous-Variable Quantum Microwaves
- Estimating entanglement measures in experiments
- Simulating quantum systems using real Hilbert spaces
- Quantum Simulation of Noncausal Kinematic Transformations
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