We consider random quantum channels arising form uniform random isometries via the Stinespring representation. We will show that these channels are generically gapped, that is, there is a separation between the first and second singular values of the channels. We will see that, in a broad sense, this result can be seen as a generalisation of Hasting's result for a set of random unital channels. Moreover, we will discuss different applications of this result to study entropy and correlations in 1D tensor networks.
De Anthony Leverrier
De Zbigniew Puchała
De Benoit Collins
De Satya Majumdar
De Motohisa Fukuda
De Nilanjana Datta
De Daniel Stilck Franca
De Radosław Adamczak
De Madalin Guta
De Antonio Acín
De Ashley Montanaro
De Ping Zhong
De James Mingo
De Camille Male
De Albert Schwarz
De Clément Delcamp
De Clément Delcamp
De Giuseppe Savaré
