Semiconductor-based Geometrical Quantum Gates

Abstract

We propose an implementation scheme for holonomic, i.e., geometrical, quantum information processing based on semiconductor nanostructures. Our quantum hardware consists of coupled semiconductor macroatoms addressed/controlled by ultrafast multicolor laser-pulse sequences. More specifically, logical qubits are encoded in excitonic states with different spin polarizations and manipulated by adiabatic time-control of the laser amplitudes . The two-qubit gate is realized in a geometric fashion by exploiting dipole-dipole coupling between excitons in neighboring quantum dots.

4 Pages LaTeX, 3 Figures included. To appear in PRB (Rapid Comm.)

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Cited by in corpus (63)

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• Unconventional geometric quantum computation
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• Robustness of non-abelian holonomic quantum gates against parametric noise
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• Quantum Error Correction on Linear Nearest Neighbor Qubit Arrays
• Non-adiabatic geometrical quantum gates in semiconductor quantum dots
• On the stability of quantum holonomic gates
• Noncyclic geometric changes of quantum states
• Long-range coupling and scalable architecture for superconducting flux qubits
• Nonunitary geometric phases: a qubit coupled to an environment with random noise
• Non-Abelian holonomic transformation in the presence of classical noise
• Fast holonomic quantum computation based on solid-state spins with all-optical control
• Fidelity optimization for holonomic quantum gates in dissipative environments
• Optimal Generators for Quantum Sensing
• Geometric quantum gates with superconducting qubits
• Correction to the geometric phase by structured environments: the onset of non-Markovian effects
• Entanglement and quantum state engineering in the optically driven two-electron double-dot structure
• Quantum gates with topological phases
• Quantumness and memory of one qubit in a dissipative cavity under classical control
• Non-Abelian geometric phases in ground state Josephson devices
• Conceptual aspects of geometric quantum computation
• Accuracy threshold for concatenated error detection in one dimension
• Geometric driving of two-level quantum systems
• Holonomic Quantum Computing Based on the Stark Effect
• All-electric qubit control in heavy hole quantum dots via non-Abelian geometric phases
• Implementation of quantum gates based on geometric phases accumulated in the eigenstates of periodic invariant operators
• Corrections to the Berry phase in a solid-state qubit due to low-frequency noise
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Ground-state geometric quantum computing in superconducting systems
• Geometry of quantum evolution in a nonequilibrium environment
• Towards Large-Scale Quantum Computation
• Environmental noise reduction for holonomic quantum gates
• Feedback control on geometric phase in dissipative two-level systems
• Realization of a holonomic quantum computer in a chain of three-level systems
• Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate
• Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model
• Universal quantum gates based on both geometric and dynamic phases in quantum dots
• Universal non-adiabatic geometric manipulation of pseudo-spin charge qubits
• Quantum state transfer with untuneable couplings
• Two-qudit topological phase evolution under dephasing
• Universal quantum computation and quantum error correction using discrete holonomies
• Geometric phase accumulated in a driven quantum system coupled to an structured environment
• Universal single-qubit non-adiabatic holonomic quantum gates in optomechanical system
• Cooper pair current in the presence of flux noise
• Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations
• Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system
• Geometric vs. Dynamical Gates in Quantum Computing Implementations Using Zeeman and Heisenberg Hamiltonians
• Decoherence induced by squeezing control errors in optical and ion trap holonomic quantum computations II
• Geometric phase corrections on a moving particle in front of a dielectric mirror
• Robust and Fast Quantum State Transfer on Superconducting Circuits
• Robust pulses for high fidelity non-adiabatic geometric gate operations in an off-resonant three-level system
• Entangling power of holonomic gates in atom-cavity systems
• Holonomic quantum manipulation in the Weyl Disk
• Effects of geometry on spin-orbit Kramers states in semiconducting nanorings
• Universal quantum gates by nonadiabatic holonomic evolution for the surface electron
• Effect of decoherence on the Berry phase of a spin-half in a rotating magnetic field
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation
• Decoherence of quantum gates based on Aharonov-Anandan phases in a multistep scheme
• Geometric and holonomic quantum computation
• Multi-target-qubit unconventional geometric phase gate in a multi-cavity system
• Universal Non-adiabatic Holonomic Gates in Quantum Dots and Single-Molecule Magnets
• Fast magnetic field manipulations and nonadiabatic geometric phases of nitrogen-vacancy center spin in diamond