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.

arXiv comment22 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 (30)

• A Quantum Approximate Optimization Algorithm
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Quantum telecloning and multiparticle entanglement
• Multipartite entanglement and high precision metrology
• Qudits and high-dimensional quantum computing
• A universal qudit quantum processor with trapped ions
• Experimental realization of Dicke states of up to six qubits for multiparty quantum networking
• Experimental entanglement of a six-photon symmetric Dicke state
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Permutationally invariant quantum tomography
• Entanglement entropy in the Lipkin-Meshkov-Glick model
• Qutrit randomized benchmarking
• High-Fidelity Qutrit Entangling Gates for Superconducting Circuits
• Native qudit entanglement in a trapped ion quantum processor
• Permutation-invariant quantum codes
• Logarithmic divergence of the block entanglement entropy for the ferromagnetic Heisenberg model
• Synthesis of Multivalued Quantum Logic Circuits by Elementary Gates
• A necessary and sufficient condition to play games in quantum mechanical settings
• A Divide-and-Conquer Approach to Dicke State Preparation
• Additivity and non-additivity of multipartite entanglement measures
• Algebraic Bethe Circuits
• Entangling power of permutation invariant quantum states
• Verification of phased Dicke states
• Preparing exact eigenstates of the open XXZ chain on a quantum computer
• Quantum storage in quantum ferromagnets
• Deterministic generation of arbitrary symmetric states and entanglement classes
• Optimal synthesis of multivalued quantum circuit
• Bethe states on a quantum computer: success probability and correlation functions
• Realization of two-qutrit quantum algorithms on a programmable superconducting processor
• On Actual Preparation of Dicke State on a Quantum Computer

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