Quantum computation and quantum-state engineering driven by dissipation

Author(s): F. Verstraete, M. M. Wolf, J. I. Cirac

Journal: Nature Physics

Volume: 5

Page(s): 633 - 636

Year: 2009

DOI Number: 10.1038/NPHYS1342

Link: Link to publication

Abstract:

We investigate the computational power of creating steady-states of quantum dissipative systems whose evolution is governed by time-independent and local couplings to a memoryless environment. We show that such a model allows for efficient universal quantum computation with the result of the computation encoded in the steady state. Due to the purely dissipative nature of the process, this way of doing quantum computation exhibits some inherent robustness and defies some of the DiVincenzo criteria for quantum computation. We show that there is a natural class of problems that can be solved with such a model - the preparation of ground states of frustration free quantum Hamiltonians. This allows for robust and efficient creation of exotic states that exhibit features like topological quantum order and the creation of PEPS and it proves the existence of novel dissipative phase transitions. In particular the latter can in principle be verified experimentally with present day technology such as with optical lattices.

Note: http://arxiv.org/abs/0803.1447

File: Link to PDF

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