: In the early 1980s, Selman's seminal work on positive Turing reductions showed that positive Turing reduction to NP yields no greater computational power than NP itself. Thu...
In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s...
Abstract. Turing machines exposed to a small stochastic noise are considered. An exact characterisation of their (≈ Π0 2 ) computational power (as noise level tends to 0) is obt...
Lots of efforts in the last decades have been done to prove or disprove whether the set of polynomially bounded problems is equal to the set of polynomially verifiable problems. T...
Sina Jafarpour, Mohammad Ghodsi, Keyvan Sadri, Zuh...
We explore the computational power of biochemistry with respect to basic chemistry, identifying complexation as the basic mechanism that distinguishes the former from the latter. W...