Quantum logic with weakly coupled qubits

Abstract

There are well-known protocols for performing CNOT quantum logic with qubits coupled by particular high-symmetry (Ising or Heisenberg) interactions. However, many architectures being considered for quantum computation involve qubits or qubits and resonators coupled by more complicated and less symmetric interactions. Here we consider a widely applicable model of weakly but otherwise arbitrarily coupled two-level systems, and use quantum gate design techniques to derive a simple and intuitive CNOT construction. Useful variations and extensions of the solution are given for common special cases.

4 pages, Revtex

References in corpus (4)

• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Generation of high-fidelity controlled-not logic gates by coupled superconducting qubits
• Single-step controlled-NOT logic from any exchange interaction

Cited by in corpus (16)

• Generation of Three-Qubit Entangled States using Superconducting Phase Qubits
• Ultrafast Quantum Gates in Circuit QED
• Speed limits for quantum gates in multi-qubit systems
• Quantum-control approach to realizing a Toffoli gate in circuit QED
• Dynamically Correcting a CNOT Gate for any Systematic Logical Error
• Selective darkening of degenerate transitions for implementing quantum controlled-NOT gates
• Dicke-state preparation through global transverse control of Ising-coupled qubits
• Controlled-NOT gate with weakly coupled qubits: Dependence of fidelity on the form of interaction
• Interconversion of $W$ and Greenberger-Horne-Zeilinger states for Ising-coupled qubits with transverse global control
• Quantum phase measurement and Gauss sum factorization of large integers in a superconducting circuit
• Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
• $GHZ$ state generation of three Josephson qubits in presence of bosonic baths
• Entanglement dynamics of two Ising-coupled qubits with nonperpendicular local driving fields
• Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
• Controlled-NOT logic gate for phase qubits based on conditional spectroscopy
• Simulated Randomized Benchmarking of a Dynamically Corrected Cross-Resonance Gate