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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Deterministic nuclear spin squeezing and squeezing by continuous measurement using vector and tensor light shifts
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.