0609125v1

related topics
{state, algorithm, problem}
{states, state, optimal}
{operator, operators, space}
{algorithm, log, probability}
{state, states, entangled}
{temperature, thermal, energy}
{field, particle, equation}
{let, theorem, proof}
{observables, space, algebra}
{state, states, coherent}
{energy, state, states}
{qubit, qubits, gate}

N-representability is QMA-complete

Y. -K. Liu, M. Christandl, F. Verstraete

abstract: We study the computational complexity of the N-representability problem in quantum chemistry. We show that this problem is QMA-complete, which is the quantum generalization of NP-complete. Our proof uses a simple mapping from spin systems to fermionic systems, as well as a convex optimization technique that reduces the problem of finding ground states to N-representability.

oai_identifier:
oai:arXiv.org:quant-ph/0609125
categories:
quant-ph
doi:
10.1103/PhysRevLett.98.110503
arxiv_id:
quant-ph/0609125
journal_ref:
Phys. Rev. Lett. 98, 110503 (2007)
created:
2006-09-17

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