Digital Quantum Algorithms for Generating and Utilizing Spin Squeezed States

arXiv:2609.36004 · quant-ph, cond-mat.str-el · Submitted 2026-09-28 · Read on arXiv

quant-ph, cond-mat.str-el

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Entanglement — 42× in this paper · explained in 4 episodes
• Spin Squeezing — 15× in this paper · explained in 2 episodes
• Entanglement Entropy — 7× in this paper · explained in 2 episodes
• Robustness — 7× in this paper · explained in 5 episodes
• Quantum Circuits — 6× in this paper · explained in 2 episodes
• Adam — 3× in this paper · explained in 2 episodes
• Ancilla Qubits — 3× in this paper · explained in 1 episode
• Anyons — 3× in this paper · explained in 2 episodes
• Topological Order — 3× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Supplementary Material — 2× in this paper
• Trace — 2× in this paper · explained in 2 episodes
• All-to-All Connectivity — 1× in this paper · explained in 1 episode
• Block Encoding — 1× in this paper · explained in 4 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Decode — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• Modularity — 1× in this paper · explained in 9 episodes
• Munich Center for Quantum Science and Technology — 1× in this paper
• Quantum Fisher Information (QFI) — 1× in this paper · explained in 13 episodes

Sources

• Fast quantum computation with all-to-all Hamiltonians
• Entanglement and spin-squeezing without infinite-range interactions
• Theory of Scalable Spin Squeezing with Disordered Quantum Dipoles
• Squeezing Towards the Heisenberg Limit with Locally Interacting Spins
• Efficiently preparing Schr\"odinger's cat, fractons and non-Abelian topological order in quantum devices
• Adaptive constant-depth circuits for manipulating non-abelian anyons
• Finite-Depth Preparation of Tensor Network States from Measurement
• Measurement-Based Preparation of Higher-Dimensional AKLT States and Their Quantum Computational Power
• Constant-depth adaptive preparation of Dicke and symmetric states
• State preparation via measurement and feedback: pushing relations, state structures, and non-invertible symmetries
• Quantum measurements and the Abelian Stabilizer Problem
• Security of Quantum Key Distribution
• Product Entropic Uncertainty Principle
• Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond
• Quantum Computational-Sensing Advantage
• Wavefunction preparation and resampling using a quantum computer

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