Holonomic quantum gates: A semiconductor-based implementation
arXiv:quant-ph/0301090 · doi:10.1103/PhysRevA.67.062315
Abstract
We propose an implementation of holonomic (geometrical) quantum gates by means of semiconductor nanostructures. Our quantum hardware consists of semiconductor macroatoms driven by sequences of ultrafast laser pulses ({\it all optical control}). Our logical bits are Coulomb-correlated electron-hole pairs (excitons) in a four-level scheme selectively addressed by laser pulses with different polarization. A universal set of single and two-qubit gates is generated by adiabatic change of the Rabi frequencies of the lasers and by exploiting the dipole coupling between excitons.
10 Pages LaTeX, 10 Figures included
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Cited by in corpus (37)
- Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
- Experimental Realization of Non-Abelian Geometric Gates
- Robustness of non-abelian holonomic quantum gates against parametric noise
- Robust gates for holonomic quantum computation
- Super-transport of Excitons in Atomically Thin Organic Semiconductors at the 2D Quantum Limit
- Adiabatic Approximation for weakly open systems
- Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit
- High-fidelity geometric gate for silicon-based spin qubits
- Fidelity optimization for holonomic quantum gates in dissipative environments
- Geometric spin echo under zero field
- Analytic Design of Accelerated Adiabatic Gates in Realistic Qubits: General Theory and Applications to Superconducting Circuits
- Single electron control in n-type semiconductor quantum dots using non-Abelian holonomies generated by spin orbit coupling
- Robustness against parametric noise of non ideal holonomic gates
- Fast and Robust Geometric Two-Qubit Gates for Superconducting Qubits and beyond
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- Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
- Control aspects of holonomic quantum computation
- Operational geometric phase for mixed quantum states
- Scalable universal holonomic quantum computation realized with an adiabatic quantum data bus and potential implementation using superconducting flux qubits
- Control of many electron states in semiconductor quantum dots by non-Abelian vector potentials
- Optical rotation of heavy hole spins by non-Abelian geometrical means
- Spin-precession in an adiabatically rotating electric field
- Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
- Geometry and speed of evolution for a spin-s system with long-range zz-type Ising interaction
- Geometrical phases for the G(4,2) Grassmannian manifold
- Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations II
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- Theory on the Ultrafast Manipulation of Electron Spin by Optical Means
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- Geometric Phases in Majorana Zero-Energy State
- Application of Geometric Phase in Quantum Computations
- Geometric characterization of mixed quantum states