Single-Letter Characterizations for Information Erasure under Restriction on the Output Distribution

Author(s):  
Naruaki AMADA ◽  
Hideki YAGI
Elenchos ◽  
2015 ◽  
Vol 36 (2) ◽  
pp. 361-372 ◽  
Author(s):  
Harold Tarrant

AbstractAt Alcibiades I, 133b-c, the reader expects, but does not according to the MSS find, the return of the mirror-motif that had supposedly explained the true meaning of the Delphic injunction. Hence it remains unclear why anything viewed within the soul should act in any way that resembles a mirror. I argue that the substitution of a single letter in one word, about which the manuscripts and modern scholars in any case disagree, can restore the necessary reference to a reflective surface, though not specifically to a mirror, since the term for a mirror could only be applied to sight. A failure to understand the underlying intertextual allusion to Cratylus 408c had resulted in a safe but unsatisfactory substitution by Late Antiquity, and other modifications followed thereafter in an effort to give meaning to the text.


Author(s):  
Ehsan Asadi Kangarshahi ◽  
Albert Guillen i Fabregas
Keyword(s):  

2021 ◽  
Vol 2 (3) ◽  
Author(s):  
Thomas Ayral ◽  
François-Marie Le Régent ◽  
Zain Saleem ◽  
Yuri Alexeev ◽  
Martin Suchara

AbstractOur recent work (Ayral et al. in Proceedings of IEEE computer society annual symposium on VLSI, ISVLSI, pp 138–140, 2020. 10.1109/ISVLSI49217.2020.00034) showed the first implementation of the Quantum Divide and Compute (QDC) method, which allows to break quantum circuits into smaller fragments with fewer qubits and shallower depth. This accommodates the limited number of qubits and short coherence times of quantum processors. This article investigates the impact of different noise sources—readout error, gate error and decoherence—on the success probability of the QDC procedure. We perform detailed noise modeling on the Atos Quantum Learning Machine, allowing us to understand tradeoffs and formulate recommendations about which hardware noise sources should be preferentially optimized. We also describe in detail the noise models we used to reproduce experimental runs on IBM’s Johannesburg processor. This article also includes a detailed derivation of the equations used in the QDC procedure to compute the output distribution of the original quantum circuit from the output distribution of its fragments. Finally, we analyze the computational complexity of the QDC method for the circuit under study via tensor-network considerations, and elaborate on the relation the QDC method with tensor-network simulation methods.


1971 ◽  
Vol 88 (2) ◽  
pp. 196-204 ◽  
Author(s):  
Franklin M. Berry ◽  
Charles E. Joubert ◽  
Alfred A. Baumeister

Sign in / Sign up

Export Citation Format

Share Document