$UNTY unitary

Latest papers

1. Quantum Work Statistics from Entanglement-Assisted Invariance quant-ph · 14 Oct · 2 hits

   …from the one-time measurement scheme arise naturally as a direct consequence of envariance for any driving unitary, without involving an explicit measurement postulate, whereas the analogous identification for the…

2. Cwikel estimates and Weyl's laws for $L\log L$ potentials on quantum tori math.OA · 14 Oct · 1 hit

   …for multiplication operators in finite von Neumann algebras whose \(L_2\)-spaces admit orthonormal bases of unitaries. When $\theta=0$, our argument also gives a simpler proof of the $L\log L$ Cwikel estimate on…

3. Strong subadditivity of topological entropy on the torus: R\'enyi order and non-Abelian structure quant-ph · 14 Oct · 1 hit

   …at finite positive orders on an unpunctured torus in the topological quantum field theory of any finite unitary modular tensor category. Universal validity means validity for all pure ground states and all regular…

4. Metric-Changing Quasi-Hermitian Quenches: Normalized Loschmidt Amplitude and Complex-Time Zeros quant-ph · 14 Oct · 1 hit

   …Hamiltonians generally possess different positive-definite metrics, so post-quench evolution is not quasi-unitary in the initial physical space. Choosing the preparation/measurement space as reference, we derive…

5. Tomography for coherent noise quant-ph · 14 Oct · 1 hit

   …greater challenge to quantum error correction than independent s- tochastic Pauli errors, because unitary errors preserve interference between error paths, can accumulate over multiple quantum error…

6. A new way integral for the $n$-fold cover of $SL_2$ math.NT · 13 Oct · 1 hit

   …$n \geq 3$ odd, and let $\tau$ be the genuine representation of $GL_1^{(n)}(\mathbb{A})$ obtained from a unitary Hecke character of $\mathbb{A}^\times$. We prove that, for a certain choice of data, a new way…

7. Viscous hydrodynamics from correlated losses cond-mat.quant-gas · 13 Oct · 1 hit

   …two-body loss thus flows hydrodynamically, with viscosity and thermal conductivity close to those of the unitary Fermi gas. As loss heats the gas, both grow in time with a universal exponent 3/8. Unlike…

8. Elliptic curves attached to Jacobians with imaginary multiplication math.NT · 13 Oct · 1 hit

   …imaginary quadratic field and A be an abelian variety of odd dimension g defined over Q for which there is a unitary algebra embedding of M in End^0(A_M) of signature ((g+1)/2,(g-1)/2). Extending a result by Fit\'e and…