Supersinglets

Abstract

Supersinglets $|{\mathcal{S}}_N^{(d)}>$ are states of total spin zero of $N$ particles of $d$ levels. Some applications of the $|{\mathcal{S}}_N^{(N)}>$ and $|{\mathcal{S}}_N^{(2)}>$ states are described. The $|{\mathcal{S}}_N^{(N)}>$ states can be used to solve three problems which have no classical solution: The "$N$ strangers," "secret sharing," and "liar detection" problems. The $|{\mathcal{S}}_N^{(2)}>$ (with $N$ even) states can be used to encode qubits in decoherence-free subspaces.

arXiv commentREVTeX4, 8 pages, 1 figure

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• Planar quantum squeezing and atom interferometry
• Generation of macroscopic singlet states in atomic ensembles
• Certifying single-system steering for quantum information processing
• Shortcuts to adiabatic passage for fast generation of three-atom singlet state by transitionless quantum driving
• Engineering steady states using jump-based feedback for multipartite entanglement generation
• Dissipative preparation of tripartite singlet state in coupled arrays of cavities via quantum feedback control
• Computing complexity measures for quantum states based on exponential families
• Quantum Byzantine Agreement via Hardy correlations and entanglement swapping
• Driving three atoms into a singlet state in an optical cavity via adiabatic passage of a dark state
• Correlations and projective measurements in maximally entangled multipartite states
• Deterministic preparation of supersinglets with collective spin projections
• Multimode Hong-Ou-Mandel Interferometry
• Broadcasting single-qubit and multi-qubit-entangled states: authentication, cryptography, and distributed quantum computation
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• Decoherence of many-body systems due to many-body interactions
• Multiparticle singlet states cannot be maximally entangled for the bipartitions
• Singlet States Preparation for Three $\Lambda$-type Atoms with Rydberg Blockade Mechanism
• Extraction of Pure Entangled States from Many Body Systems by Distant Local Projections
• Two fundamental solutions to the rigid Kochen-Specker set problem and the solution to the minimal Kochen-Specker set problem under one assumption
• Supersinglets can be self-tested with perfect quantum strategies
• Symmetric and Antisymmetric Quantum States from Graph Structure and Orientation