Implementing conventional and unconventional nonadiabatic geometric quantum gates via SU(2) transformations
نویسندگان
چکیده
We propose a simple but versatile protocol to engineer time-dependent Hamiltonians inversely for geometric quantum computation. By utilizing SU(2) transformation, speedup goal on gate operation is achieved with more freedom design the control parameters. As an application, this enables conventional and unconventional nonadiabatic gates desired evolution paths by controlling microwave pulses in diamond nitrogen-vacancy center system. show that designed Hamiltonian can fulfill economical time further reduces influence of environment noise fidelity.
منابع مشابه
Proper magnetic fields for nonadiabatic geometric quantum gates in NMR
In a scheme of nonadiabatic purely geometric quantum gates in nuclear magnetic resonance(NMR) systems we propose proper magnitudes of magnetic fields that are suitable for an experiment. We impose a natural condition and reduce the degree of freedom of the magnetic fields to the extent. By varying the magnetic fields with essentially one-dimensional degree of freedom, any spin state can acquire...
متن کاملUnconventional geometric quantum computation.
We propose a new class of unconventional geometric gates involving nonzero dynamic phases, and elucidate that geometric quantum computation can be implemented by using these gates. Comparing with the conventional geometric gate operation, in which the dynamic phase shift must be removed or avoided, the gates proposed here may be operated more simply. We illustrate in detail that unconventional ...
متن کاملUniversal Nonadiabatic Geometric Gates in Two-Qubit Decoherence-Free Subspaces
Geometric quantum computation in decoherence-free subspaces is of great practical importance because it can protect quantum information from both control errors and collective dephasing. However, previous proposed schemes have either states leakage or four-body interactions problems. Here, we propose a feasible scheme without these two problems. Our scheme is realized in two-qubit decoherence-f...
متن کاملDecoherence suppression for oscillator-assisted geometric quantum gates via symmetrization
We propose a novel symmetrization procedure to beat decoherence for oscillator-assisted quantum gate operations. The enacted symmetry is related to the global geometric features of qubits transformation based on ancillary oscillator modes, e.g. phonons in an ion-trap system. It is shown that the devised multi-circuit symmetrized evolution endows the system with a two-fold resilience against dec...
متن کاملFast non-Abelian geometric gates via transitionless quantum driving
A practical quantum computer must be capable of performing high fidelity quantum gates on a set of quantum bits (qubits). In the presence of noise, the realization of such gates poses daunting challenges. Geometric phases, which possess intrinsic noise-tolerant features, hold the promise for performing robust quantum computation. In particular, quantum holonomies, i.e., non-Abelian geometric ph...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2021
ISSN: ['1538-4446', '1050-2947', '1094-1622']
DOI: https://doi.org/10.1103/physreva.103.032616