Encoding many qubits in a rotor

Abstract

We propose a scheme for encoding many qubits in a single rotor, that is, a continuous and periodic degree of freedom. A key feature of this scheme is its ability to manipulate and entangle the encoded qubits with a single operation on the system. We also show, using quantum error-correcting codes, how to protect the qubits against small errors in angular position and momentum which may affect the rotor. We then discuss the feasibility of this scheme and suggest several candidates for its implementation. The proposed scheme is immediately generalizable to qudits of any finite dimension.

11 pages, 5 figures

References in corpus (3)

• Rotor in a Cage: Infrared Spectroscopy of an Endohedral Hydrogen-Fullerene Complex
• Quantum phase gate and controlled entanglement with polar molecules
• Variations on a theme of Heisenberg, Pauli and Weyl

Cited by in corpus (13)

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• Robust encoding of a qubit in a molecule
• Modular Bosonic Subsystem Codes
• General phase spaces: from discrete variables to rotor and continuum limits
• Superintegrability of Geodesic Motion on the Sausage Model
• Efficient simulatability of continuous-variable circuits with large Wigner negativity
• Homological Quantum Rotor Codes: Logical Qubits from Torsion
• Coherent-cluster-state generation in networks of degenerate optical parametric oscillators
• Clifford operations and homological codes for rotors and oscillators
• Stabilization of cat-state manifolds using nonlinear reservoir engineering
• Quantum Error Correction in the Lowest Landau Level
• Topological stabilizer models on continuous variables
• Enhancement in Breaking of Time-reversal Invariance in the Quantum Kicked Rotor