Theory of the microwave spectroscopy of a phosphorus-donor charge qubit in silicon: Coherent control in theSi:Pquantum-computer architecture

2005/12/12 by C. J. Wellard, Cameron Wellard, Lloyd C. L. Hollenberg +2 · 14 citations
Computer Science · Mathematics · Physics and Astronomy · #Charge (physics) #Dephasing #Dissipative system #Hamiltonian (control theory) #Mathematical optimization #Mathematics #Microwave #Optoelectronics #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Qubit #Relaxation (psychology) #Semiconductor Quantum Structures and Devices #Silicon #Spectroscopy #Statistical physics #cond-mat.other

paper · pdf · doi:10.1103/physrevb.74.075306

published in Physical Review B 74(7) (American Physical Society)

arxiv created 2005/12/12 · openalex publication_date 2006/08/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a theoretical analysis of a microwave spectroscopy experiment on a charge qubit defined by a P₂⁺ donor pair in silicon, for which we calculate Hamiltonian parameters using the effective-mass theory of shallow donors. The master equation of the driven system in a dissipative system is solved to predict experimental outcomes. We describe how to calculate physical parameters of the system from such experimental results, including the dephasing time, T₂, and the ratio of the resonant Rabi frequency to the relaxation rate. Finally we calculate probability distributions for experimentally relevant system parameters for a particular fabrication regime.

Citations

• Two-dimensional architectures for donor-based quantum computing
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Atomically Precise Placement of Single Dopants in Si
• Decoherence and relaxation of a quantum bit in the presence of Rabi oscillations
• Charge-based quantum computing using single donors in semiconductors
• Exchange in Silicon-Based Quantum Computer Architecture
• Single-spin readout for buried dopant semiconductor qubits
• Rabi Oscillations in a Josephson-Junction Charge Two-Level System
• Rabi oscillations, Ramsey fringes and spin echoes in an electrical circuit
• Continuous measurement of a microwave-driven solid state qubit
• Qubits as Spectrometers of Quantum Noise