Analytic Pulse Sequence Construction for Exchange-Only Quantum Computation

Abstract

We present pulse sequences for two-qubit gates acting on encoded qubits for exchange-only quantum computation. Previous work finding such sequences has always required numerical methods due to the large search space of unitary operators acting on the space of the encoded qubits. By contrast, our construction can be understood entirely in terms of three-dimensional rotations of effective spin-1/2 pseudospins which allows us to use geometric intuition to determine the required sequence of operations analytically. The price we pay for this simplification is that, at 39 pulses, our sequences are significantly longer than the best numerically obtained sequences.

14 pages, 13 figures. Revised introduction and references added

References in corpus (10)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Coherent control of a single electron spin with electric fields
• Electrically driven single electron spin resonance in a slanting Zeeman field
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• Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
• Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
• Coherent spin manipulation in an exchange-only qubit
• Hyperfine-mediated gate-driven electron spin resonance
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Cited by in corpus (8)

• Three-electron spin qubits
• The asymmetric resonant exchange qubit under the influence of electrical noise
• A Simple Derivation of the Fong-Wandzura Pulse Sequence
• Characterisation of an exchange-based two-qubit gate for resonant exchange qubits
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• Efficient Two-Qubit Pulse Sequences Beyond CNOT
• Approximate exchange-only entangling gates for the three-spin-$1/2$ decoherence-free subsystem
• Jenga-Krotov algorithm: Efficient compilation of multi-qubit gates for exchange-only qubits