scholarly journals Unary probabilistic and quantum automata on promise problems

2017 ◽  
Vol 17 (2) ◽  
Author(s):  
Aida Gainutdinova ◽  
Abuzer Yakaryılmaz
Keyword(s):  
Quantum Automata ◽  
Promise Problems

scholarly journals Superiority of exact quantum automata for promise problems

2012 ◽  
Vol 112 (7) ◽  
pp. 289-291 ◽  
Author(s):  
Andris Ambainis ◽  
Abuzer Yakaryılmaz
Keyword(s):  
Quantum Automata ◽  
Exact Quantum ◽  
Promise Problems

Complexity of Promise Problems on Classical and Quantum Automata

2014 ◽  
pp. 161-175 ◽  
Author(s):  
Maria Paola Bianchi ◽  
Carlo Mereghetti ◽  
Beatrice Palano
Keyword(s):  
Quantum Automata ◽  
Promise Problems

scholarly journals Classical Automata on Promise Problems

2015 ◽  
Vol Vol. 17 no.2 (Automata, Logic and Semantics) ◽  
Author(s):  
Viliam Geffert ◽  
Abuzer Yakaryilmaz
Keyword(s):  
Classical Model ◽  
Automata Theory ◽  
Language Recognition ◽  
Quantum Automata ◽  
Probabilistic Automata ◽  
State Complexity ◽  
Bounded Error ◽  
Deterministic Automata ◽  
Promise Problems ◽  
Alternating Automata

International audience Promise problems were mainly studied in quantum automata theory. Here we focus on state complexity of classical automata for promise problems. First, it was known that there is a family of unary promise problems solvable by quantum automata by using a single qubit, but the number of states required by corresponding one-way deterministic automata cannot be bounded by a constant. For this family, we show that even two-way nondeterminism does not help to save a single state. By comparing this with the corresponding state complexity of alternating machines, we then get a tight exponential gap between two-way nondeterministic and one-way alternating automata solving unary promise problems. Second, despite of the existing quadratic gap between Las Vegas realtime probabilistic automata and one-way deterministic automata for language recognition, we show that, by turning to promise problems, the tight gap becomes exponential. Last, we show that the situation is different for one-way probabilistic automata with two-sided bounded-error. We present a family of unary promise problems that is very easy for these machines; solvable with only two states, but the number of states in two-way alternating or any simpler automata is not limited by a constant. Moreover, we show that one-way bounded-error probabilistic automata can solve promise problems not solvable at all by any other classical model.

scholarly journals Size lower bounds for quantum automata

2014 ◽  
Vol 551 ◽  
pp. 102-115 ◽  
Author(s):  
Maria Paola Bianchi ◽  
Carlo Mereghetti ◽  
Beatrice Palano
Keyword(s):  
Lower Bounds ◽  
Quantum Automata

scholarly journals Quantum automata and quantum grammars

2000 ◽  
Vol 237 (1-2) ◽  
pp. 275-306 ◽  
Author(s):  
Cristopher Moore ◽  
James P. Crutchfield
Keyword(s):  
Quantum Automata

A Thirty Year Old Conjecture about Promise Problems

2012 ◽  
pp. 473-484 ◽  
Author(s):  
Andrew Hughes ◽  
A. Pavan ◽  
Nathan Russell ◽  
Alan Selman
Keyword(s):  
Promise Problems

Potenziamento della capacitÀ mentale? Dalla medicalizzazione della cognizione alla farmacologizzazione delle routine mental life

2012 ◽  
pp. 145-159
Author(s):  
Catherine Coveney ◽  
Jonathan Gabe ◽  
Simon Williams
Keyword(s):  
Cognitive Impairment ◽  
Mild Cognitive Impairment ◽  
Research Agenda ◽  
Cognitive Enhancement ◽  
Early Stage ◽  
Mental Life ◽  
Medical Authority ◽  
Pharmaceutical Cognitive Enhancement ◽  
Promise Problems ◽  
Over Time

Sociological engagement with debates around the promise, problems and prospects of pharmaceutical cognitive enhancment is still at an early stage. In this paper we attempt to explore how the prospect of cognitive enhancement can be understood using existing sociological concepts of medicalisation, biomedicalisation and pharmaceuticalisation. Drawing on two case studies, that of Mild Cognitive Impairment (MCI) and the use of modafinil to enhance alertness, we discuss the idea of enhancement medicine and the use of cognitive enhancers outside of medical authority. We suggest that whilst all three of the above concepts shed important light on these developments, overlapping and converging as they do in various ways, pharmaceuticalisation provides a more precise sociological term of reference. We end with some suggestions for a research agenda for tracing and tracking trends in pharmaceutical cognitive enhancement over time.

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