Qudit Dicke state preparation

Abstract

Qudit Dicke states are higher-dimensional analogues of an important class of highly-entangled completely symmetric quantum states known as (qubit) Dicke states. A circuit for preparing arbitrary qudit Dicke states deterministically is formulated. An explicit decomposition of the circuit in terms of elementary gates is presented, and is implemented in cirq for the qubit and qutrit cases.

22 pages, v2: new section on d>3 and references added; v3: additional author, algorithm simplified, notation and presentation improved, typos corrected, cirq code for the qubit and qutrit cases provided in Supplementary Material; v4: cirq pdf files replaced; no changes in code or draft

References in corpus (9)

• A Quantum Approximate Optimization Algorithm
• Experimental entanglement of a six-photon symmetric Dicke state
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Permutationally invariant quantum tomography
• High-Fidelity Qutrit Entangling Gates for Superconducting Circuits
• Native qudit entanglement in a trapped ion quantum processor
• A necessary and sufficient condition to play games in quantum mechanical settings
• Realization of two-qutrit quantum algorithms on a programmable superconducting processor
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Cited by in corpus (9)

• Deterministic Bethe state preparation
• $q$-analog qudit Dicke states
• Covariant Quantum Error-Correcting Codes with Metrological Entanglement Advantage
• Symmetric quantum states: a review of recent progress
• Dicke states as matrix product states
• Deformations of the symmetric subspace of qubit chains
• Dicke subsystems are entangled
• Bounding Entanglement Entropy with Clifford Double Cosets
• Simple ways of preparing qudit Dicke states