8 papers
Average entropy of Bogoliubov-Kubo-Mori random state ensemble
Sohail, Lu Wei
Random states play a foundational role in different branches of modern quantum science. In this work, we study a recently proposed random state ensemble induced from von Neumann en…
Bochner's theorem for finite inverse semigroups and its connection to Choi's theorem
Sohail, Sahil
Bochner's theorem characterizes positive definite functions on groups through the positivity of their Fourier transforms and plays a fundamental role in Harmonic analysis. While Bo…
Diagonal Unitary Covariant Superchannels
Dariusz ChruÅciÅski, Vivek Pandey, Sohail
We present a complete characterization of diagonal unitary covariant (DU-covariant) superchannels, i.e. higher-order transformations transforming quantum channels into themselves.…
Higher-order spectral form factors of circular unitary ensemble
Sohail, Youyi Huang, Lu Wei
Spectral form factor (SFF), one of the key quantity from random matrix theory, serves as an important tool to probe universality in disordered quantum systems and quantum chaos. In…
Fundamental limitations on the recoverability of quantum processes
Sohail, Vivek Pandey, Uttam Singh +1
Quantum information processing and computing tasks can be understood as quantum networks, comprising quantum states and channels and possible physical transformations on them. It i…
Unified Framework for Direct and Complete Characterization of an Unknown Kraus Operator and Density Matrix Using a Single Input State
Sahil, Swarup Kumar Giri, Sohail
Characterization of quantum measurements and dynamical processes is typically performed using pure state preparations. However, in realistic experimental settings, the preparation…