Decision makers that employ state abstraction (or state aggregation) usually find solutions faster by treating groups of states as indistinguishable by ignoring irrelevant state information. Identifying irrelevant information is essential for the field of knowledge transfer where learning takes place in a general setting for multiple domains. We provide a general treatment and algorithm for tra...

We investigate the relaxation dynamics of open non-integrable quantum many-body systems in thermodynamic limit by using a tensor-network formalism. simulate Lindblad master equation (LQME) infinite making use uniform matrix product operators (MPO) as ansatz their density matrices. Furthermore, we establish method to measure equivalence between two states described MPOs. numerically show that wh...

A record number of firearm background checks were completed at the onset COVID-19 pandemic and during protests following murder George Floyd. Using monthly state-level data, we show that increase in check rates March 2020 June differ from previous gun-buying events least two important ways. First, increases surrounding Floyd are significantly larger than events. Second, nonpartisan; effect Repu...

Pseudorandom states, introduced by Ji, Liu and Song (Crypto’18), are efficiently-computable quantum states that computationally indistinguishable from Haar-random states. One-way functions imply the existence of pseudorandom but Kretschmer (TQC’20) recently constructed an oracle relative to which there no one-way still exist. Motivated this, we study intriguing possibility basing interesting cr...

The presence of disorder and inhomogeneities in quantum networks has often been unexpectedly beneficial for both classical resources. Here, we experimentally realize a controllable inhomogenous Quantum Walk dynamics, which can be exploited to investigate the effect coherent on correlations between two indistinguishable photons. Through imposition suitable configurations, observe photon states e...

Recognition of contact states is often necessary or preferred in planning and executing contact-based assembly motions in the presence of uncertainties. However , due to inevitable uncertainties, not all contact states can be identiied at all contact conngurations. A crucial question is what kinds of contact states at what kinds of conngurations are impossible to be distinguished or identiied. ...