Journal
PHYSICAL REVIEW A
Volume 93, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.93.062308
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Funding
- HPC Wales bursary
- Aberystwyth Doctoral Career Development Scholarship
- EPSRC [EP/M01634X/1]
- Japan Society for the Promotion of Science [26400406]
- Waseda University [2015K-202, 2016K-215]
- Top Global University Project from the Ministry of Education, Culture, Sports, Science and Technology, Japan
- PRIN Grant Collective quantum phenomena: from strongly correlated systems to quantum simulators [2010LLKJBX]
- Italian National Group of Mathematical Physics
- INFN through the project QUANTUM
- EPSRC [EP/M01634X/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/M01634X/1] Funding Source: researchfish
- Grants-in-Aid for Scientific Research [26400406] Funding Source: KAKEN
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On the basis of the quantum Zeno effect, it has been recently shown [D. K. Burgarth et al., Nat. Commun. 5, 5173 (2014)] that a strong-amplitude-damping process applied locally on a part of a quantum system can have a beneficial effect on the dynamics of the remaining part of the system. Quantum operations that cannot be implemented without the dissipation become achievable by the action of the strong dissipative process. Here we generalize this idea by identifying decoherence-free subspaces (DFSs) as the subspaces in which the dynamics becomes more complex. Applying methods from quantum control theory, we characterize the set of reachable operations within the DFSs. We provide three examples that become fully controllable within the DFSs while the control over the original Hilbert space in the absence of dissipation is trivial. In particular, we show that the (classical) Ising Hamiltonian is turned into a Heisenberg Hamiltonian by strong collective decoherence, which provides universal quantum computation within the DFSs. Moreover, we perform numerical gate optimization to study how the process fidelity scales with the noise strength. As a by-product, a subsystem fidelity that can be applied in other optimization problems for open quantum systems is developed.
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