Optical one-way quantum computing with a simulated valence-bond solid
Abstract
One-way quantum computation proceeds by sequentially measuring individual spins (qubits) in an entangled many-spin resource state. It remains a challenge, however, to efficiently produce such resource states. Is it possible to reduce the task of generating these states to simply cooling a quantum many-body system to its ground state? Cluster states, the canonical resource for one-way quantum computing, do not naturally occur as ground states of physical systems. This led to a significant effort to identify alternative resource states that appear as ground states in spin lattices. An appealing candidate is a valence-bond-solid state described by Affleck, Kennedy, Lieb, and Tasaki (AKLT). It is the unique, gapped ground state for a two-body Hamiltonian on a spin-1 chain, and can be used as a resource for one-way quantum computing. Here, we experimentally generate a photonic AKLT state and use it to implement single-qubit quantum logic gates.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2010
- DOI:
- 10.48550/arXiv.1004.3624
- arXiv:
- arXiv:1004.3624
- Bibcode:
- 2010arXiv1004.3624L
- Keywords:
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- Quantum Physics;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 11 pages, 4 figures, 8 tables - added one reference