Schrödinger cat states of a nuclear spin qudit in silicon

Abstract

High-dimensional quantum systems are a valuable resource for quantum information processing. They can be used to encode error-correctable logical qubits, which has been demonstrated using continuous-variable states in microwave cavities or the motional modes of trapped ions. For example, high-dimensional systems can be used to realise `Schrödinger cat' states, superpositions of widely displaced coherent states that can also be used to illustrate quantum effects at large scales. Recent proposals have suggested encoding qubits in high-spin atomic nuclei, finite-dimensional systems that can host hardware-efficient versions of continuous-variable codes. Here we demonstrate the creation and manipulation of Schrodinger cat states using the spin-7/2 nucleus of an antimony atom embedded in a silicon nanoelectronic device. We use a multi-frequency control scheme to produce spin rotations that preserve the symmetry of the qudit, and constitute logical Pauli operations for qubits encoded in the Schrodinger cat states. Our work demonstrates the ability to prepare and control nonclassical resource states, a prerequisite for applications in quantum information processing and quantum error correction using our scalable, manufacturable semiconductor platform.

40 pages including main and supplementary information

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• Dynamical decoupling of interacting spins through group factorization
• Fusion for High-Dimensional Linear Optical Quantum Computing with Improved Success Probability
• Coherent Generation and Protection of Anticoherent Spin States
• Double-Bracket Master Equations: Phase-Space Representation and Classical Limit
• Comparing Schemes for Creating Qudit Graph States from 16- & 128-dimensional Hilbert Space using Donors in Silicon
• Quantum error correction beyond $SU(2)$: spin, bosonic, and permutation-invariant codes from convex geometry
• A Mathematical Structure for Amplitude-Mixing Error-Transparent Gates for Binomial Codes
• Reservoir-Engineered Mechanical Cat States with a Driven Qubit
• Quantum dynamics of spin-J particles in static and rotating magnetic fields: Entanglement resonances and kinks
• Spin coherence scale: operator-ordering sensitivity beyond the Heisenberg-Weyl group
• Near-deterministic photon entanglement from a spin qudit in silicon using third quantisation
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• Maximizing the nondemolition nature of a quantum measurement via an adaptive readout protocol
• Strained Donor-Bound Excitons in ${}^{28}$Si
• Fault-Tolerant Encoding of Logical Qudits in Spin Systems
• Electron readout contrast enhancement in the parallel nuclear regime of an exchange-coupled donor spin qubit system