Entanglement dynamics of two Ising-coupled qubits with nonperpendicular local driving fields

Abstract

We present an approximate analytical solution to the dynamic equation of two Ising-coupled qubits with oscillating classical control fields that are nonperpendicular to the static drift fields. This is a situation that has recently arisen in some solid-state experiments. With our solution we derive the analytical expressions for the local invariants as well as the local rotations needed to isolate a purely nonlocal gate. This determines the set of parameters that are required to generate any entangling gate. Moreover, we use our results to describe a recent experimental work on capacitively coupled singlet-triplet qubits in GaAs and discuss possible differences for a similar device in silicon.

6 pages, 3 figures

References in corpus (6)

• Quantum nature of a strongly-coupled single quantum dot-cavity system
• Resolving photon number states in a superconducting circuit
• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• Robust micro-magnet design for fast electrical manipulations of single spins in quantum dots
• Coherent electron-spin-resonance manipulation of three individual spins in a triple quantum dot
• Directly accessible entangling gates for capacitively coupled singlet-triplet qubits

Cited by in corpus (5)

• Semiconductor Spin Qubits
• Creating ensembles of dual unitary and maximally entangling quantum evolutions
• Entangling power of time-evolution operators in integrable and nonintegrable many-body systems
• Rapid adiabatic gating for capacitively coupled quantum dot hybrid qubits without barrier control
• Stroboscopically Robust Gates For Capacitively Coupled Singlet-Triplet Qubits