Holonomic quantum computation
نویسندگان
چکیده
منابع مشابه
Holonomic quantum computation
We show that the notion of generalized Berry phase i.e., non-abelian holonomy, can be used for enabling quantum computation. The computational space is realized by a n-fold degenerate eigenspace of a family of Hamiltonians parametrized by a manifold M. The point of M represents classical configuration of control fields and, for multi-partite systems, couplings between subsystem. Adiabatic loops...
متن کاملHolonomic Quantum Computation
A considerable understanding of the formal description of quantum mechanics has been achieved after Berry’s discovery [2] of a geometric feature related to the motion of a quantum system. He showed that the wave function of a quantum object retains a memory of its evolution in its complex phase argument, which, apart from the usual dynamical contribution, only depends on the “geometry” of the p...
متن کاملFault-tolerant holonomic quantum computation.
We explain how to combine holonomic quantum computation (HQC) with fault-tolerant quantum error correction. This establishes the scalability of HQC, putting it on equal footing with other models of computation, while retaining the inherent robustness the method derives from its geometric nature.
متن کاملHolonomic quantum computation in subsystems.
We introduce a generalized method of holonomic quantum computation (HQC) based on encoding in subsystems. As an application, we propose a scheme for applying holonomic gates to unencoded qubits by the use of a noisy ancillary qubit. This scheme does not require initialization in a subspace since all dynamical effects factor out as a transformation on the ancilla. We use this approach to show ho...
متن کاملHolonomic quantum computation in decoherence-free subspaces.
We show how to realize, by means of non-Abelian quantum holonomies, a set of universal quantum gates acting on decoherence-free subspaces and subsystems. In this manner we bring together the quantum coherence stabilization virtues of decoherence-free subspaces and the fault tolerance of all-geometric holonomic control. We discuss the implementation of this scheme in the context of quantum infor...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1999
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00803-8