Non-Hermitian multi-band twister models are simulated on quantum hardware via a direct measurement protocol that extracts braid information and knot invariants such as Alexander and Jones polynomials, demonstrated on the Hopf chain and Solomon's knot.
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The localization length of the non-Hermitian skin effect is encoded in the quantum metric of right eigenstates, exhibiting power-law divergences at gapless points and discontinuities at cusps of the generalized Brillouin zone.
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Digital Simulation of Non-Hermitian Knotted Bands on Quantum Hardware
Non-Hermitian multi-band twister models are simulated on quantum hardware via a direct measurement protocol that extracts braid information and knot invariants such as Alexander and Jones polynomials, demonstrated on the Hopf chain and Solomon's knot.
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Quantum geometry of the non-Hermitian skin effect
The localization length of the non-Hermitian skin effect is encoded in the quantum metric of right eigenstates, exhibiting power-law divergences at gapless points and discontinuities at cusps of the generalized Brillouin zone.