Constructs quantum filtered oracle for Valiant-Vazirani theorem reducing SAT to UNIQUE SAT, enabling polynomial-time NP solution via torsion nonlinearity in noise-free limit but not #P.
Kitagawa \ and\ author M
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A delta-kick focusing step applied to a BEC before one-axis twisting enhances spin squeezing and yields a fourfold improvement in phase sensitivity for quantum gravimetry, surpassing the SQL by a factor of ~20.
Theoretical proposal for cavity-based momentum-state spin squeezing in Bragg interferometers that models momentum width and off-manifold coupling and predicts feasible squeezing levels with current technology.
A monolithic bow-tie cavity with finesse 5.7e4 is realized for homogeneous coupling to Sr atoms at 689 nm, projected to enable up to 28 dB spin squeezing for quantum-enhanced interferometry.
The authors identify distinct regimes for QND measurement squeezing (short times) and deterministic squeezing (longer times) via the ratio of tensor to vector light shifts, predicting a spin variance of 0.03 in 50 ms for Yb-173.
In the large-N limit, spin squeezing torsion yields a nonlinear qubit governed by the two-state Gross-Pitaevskii equation that solves single-input state discrimination on the Bloch sphere.
Non-Hermitian systems admit equivalent descriptions in isomorphic Hilbert spaces related by Krein metrics, with physical quantities transported accordingly; illustrated on a two-level spin model via Robertson uncertainty relation as consistency test.
A review of time-reversal and interaction-based readout in cavity QED for quantum metrology, covering SATIN, scrambling-enhanced metrology, and related schemes.
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From spin squeezing to fast state discrimination
In the large-N limit, spin squeezing torsion yields a nonlinear qubit governed by the two-state Gross-Pitaevskii equation that solves single-input state discrimination on the Bloch sphere.