Gate errors in solid state quantum computer architectures

Abstract

We theoretically consider possible errors in solid state quantum computation due to the interplay of the complex solid state environment and gate imperfections. In particular, we study two examples of gate operations in the opposite ends of the gate speed spectrum, an adiabatic gate operation in electron-spin-based quantum dot quantum computation and a sudden gate operation in Cooper pair box superconducting quantum computation. We evaluate quantitatively the non-adiabatic operation of a two-qubit gate in a two-electron double quantum dot. We also analyze the non-sudden pulse gate in a Cooper-pair-box-based quantum computer model. In both cases our numerical results show strong influences of the higher excited states of the system on the gate operation, clearly demonstrating the importance of a detailed understanding of the relevant Hilbert space structure on the quantum computer operations.

6 pages, 2 figures

Cited by in corpus (22)

• Design and proof of concept for silicon-based quantum dot quantum bits
• Practical design and simulation of silicon-based quantum dot qubits
• Quantum Machine Learning for Chemistry and Physics
• Weak Lensing from Space III: Cosmological Parameters
• Spin quantum computation in silicon nanostructures
• The Exchange Gate in Solid State Spin Quantum Computation: The Applicability of the Heisenberg Model
• Non-ideality of quantum operations with the electron spin of a 31P donor in a Si crystal due to interaction with a nuclear spin system
• Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving
• Transporting a single-spin qubit through a double quantum dot
• Overview of Spin-Based Quantum Dot Quantum Computation
• Spin Qubits in Multi-Electron Quantum Dots
• Molecular orbital calculations of two-electron states for P donor solid-state spin qubits
• Spin swap gate in the presence of qubit inhomogeneity in a double quantum dot
• Effect of Randomness on Quantum Data Buses of Heisenberg Spin Chains
• Effects of dynamical phases in Shor's factoring algorithm with operational delays
• Spin swap vs. double occupancy in quantum gates
• The Spin Density Matrix II: Application to a system of two quantum dots
• Measurement of two-qubit states by quantum point contacts
• Analyzing the Toffoli gate in disordered circuit QED
• The Loss of fidelity due to quantum leakage for Josephson charge qubits
• Protected quantum gates using qubit doublons in dynamical optical lattices
• The Spin Density Matrix I: General Theory and Exact Master Equations