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21 papers · 1 filter
Exponential Separation between Quantum Communication and Logarithm of Approximate Rank
Makrand Sinha, Ronald de Wolf
Chattopadhyay, Mande and Sherif (ECCC 2018) recently exhibited a total Boolean function, the sink function, that has polynomial approximate rank and polynomial randomized communica…
Experimental Demonstration of Quantum Fully Homomorphic Encryption with Application in a Two-Party Secure Protocol
W. K. Tham, Hugo Ferretti, Kent Bonsma-Fisher +4
A fully homomorphic encryption system hides data from unauthorized parties, while still allowing them to perform computations on the encrypted data. Aside from the straightforward…
Can you sign a quantum state?
Gorjan Alagic, Tommaso Gagliardoni, Christian Majenz
Cryptography with quantum states exhibits a number of surprising and counterintuitive features. In a 2002 work, Barnum et al. argue that these features imply that digital signature…
Many-body effects in quantum metrology
Jan Czajkowski, Krzysztof Pawłowski, Rafał Demkowicz-Dobrzański
We study the impact of many-body effects on the fundamental precision limits in quantum metrology. On the one hand such effects may lead to non-linear Hamiltonians, studied in the…
Two new results about quantum exact learning
Srinivasan Arunachalam, Sourav Chakraborty, Troy Lee +2
We present two new results about exact learning by quantum computers. First, we show how to exactly learn a -Fourier-sparse -bit Boolean function from …
Asymptotic performance of port-based teleportation
Matthias Christandl, Felix Leditzky, Christian Majenz +3
Quantum teleportation is one of the fundamental building blocks of quantum Shannon theory. While ordinary teleportation is simple and efficient, port-based teleportation (PBT) enab…