Matches in SemOpenAlex for { <https://semopenalex.org/work/W21360042> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W21360042 abstract "In this dissertation, we investigate the computational power of quantum Turing machines operating in bounded space.First, we consider space-bounds that are space-constructible and at least logarithmic in the input size. For such space-bounds, it is shown that quantum Turing machines and probabilistic Turing machines are equivalent in power in the unbounded-error setting, in the sense that each model may simulate the other with at most a constant factor increase in space. From this, it follows that any quantum Turing machine computation can be simulated deterministically with at most a quadratic increase in space, and can be simulated deterministically in time at most exponential in the space-bound. Several other facts regarding quantum complexity classes defined in terms of such space-bounds are also proved.Second, we consider the power of quantum Turing machines restricted to constant space. In this case, we first prove that quantum Turing machines having one-sided error and running in linear time are strictly more powerful than probabilistic Turing machines having either one-sided error or having two-sided bounded error and running in polynomial time. Second, we prove that exact (i.e., accepting with probability 0 or 1) constant-space quantum Turing machines upon which no restrictions on running time are placed can recognize languages that cannot be recognized by any bounded-error constant-space probabilistic Turing machine." @default.
- W21360042 created "2016-06-24" @default.
- W21360042 creator A5022329888 @default.
- W21360042 creator A5057710320 @default.
- W21360042 date "1998-01-01" @default.
- W21360042 modified "2023-09-26" @default.
- W21360042 title "Space-bounded quantum computation" @default.
- W21360042 hasPublicationYear "1998" @default.
- W21360042 type Work @default.
- W21360042 sameAs 21360042 @default.
- W21360042 citedByCount "10" @default.
- W21360042 countsByYear W213600422012 @default.
- W21360042 countsByYear W213600422014 @default.
- W21360042 crossrefType "journal-article" @default.
- W21360042 hasAuthorship W21360042A5022329888 @default.
- W21360042 hasAuthorship W21360042A5057710320 @default.
- W21360042 hasConcept C11413529 @default.
- W21360042 hasConcept C118615104 @default.
- W21360042 hasConcept C121332964 @default.
- W21360042 hasConcept C131671149 @default.
- W21360042 hasConcept C134306372 @default.
- W21360042 hasConcept C137019171 @default.
- W21360042 hasConcept C144271403 @default.
- W21360042 hasConcept C15190523 @default.
- W21360042 hasConcept C15547884 @default.
- W21360042 hasConcept C179799912 @default.
- W21360042 hasConcept C192061203 @default.
- W21360042 hasConcept C197685441 @default.
- W21360042 hasConcept C201958364 @default.
- W21360042 hasConcept C29248071 @default.
- W21360042 hasConcept C31402856 @default.
- W21360042 hasConcept C33923547 @default.
- W21360042 hasConcept C34388435 @default.
- W21360042 hasConcept C41008148 @default.
- W21360042 hasConcept C45374587 @default.
- W21360042 hasConcept C48415503 @default.
- W21360042 hasConcept C51003876 @default.
- W21360042 hasConcept C58053490 @default.
- W21360042 hasConcept C62520636 @default.
- W21360042 hasConcept C84114770 @default.
- W21360042 hasConceptScore W21360042C11413529 @default.
- W21360042 hasConceptScore W21360042C118615104 @default.
- W21360042 hasConceptScore W21360042C121332964 @default.
- W21360042 hasConceptScore W21360042C131671149 @default.
- W21360042 hasConceptScore W21360042C134306372 @default.
- W21360042 hasConceptScore W21360042C137019171 @default.
- W21360042 hasConceptScore W21360042C144271403 @default.
- W21360042 hasConceptScore W21360042C15190523 @default.
- W21360042 hasConceptScore W21360042C15547884 @default.
- W21360042 hasConceptScore W21360042C179799912 @default.
- W21360042 hasConceptScore W21360042C192061203 @default.
- W21360042 hasConceptScore W21360042C197685441 @default.
- W21360042 hasConceptScore W21360042C201958364 @default.
- W21360042 hasConceptScore W21360042C29248071 @default.
- W21360042 hasConceptScore W21360042C31402856 @default.
- W21360042 hasConceptScore W21360042C33923547 @default.
- W21360042 hasConceptScore W21360042C34388435 @default.
- W21360042 hasConceptScore W21360042C41008148 @default.
- W21360042 hasConceptScore W21360042C45374587 @default.
- W21360042 hasConceptScore W21360042C48415503 @default.
- W21360042 hasConceptScore W21360042C51003876 @default.
- W21360042 hasConceptScore W21360042C58053490 @default.
- W21360042 hasConceptScore W21360042C62520636 @default.
- W21360042 hasConceptScore W21360042C84114770 @default.
- W21360042 hasLocation W213600421 @default.
- W21360042 hasOpenAccess W21360042 @default.
- W21360042 hasPrimaryLocation W213600421 @default.
- W21360042 hasRelatedWork W1531426191 @default.
- W21360042 hasRelatedWork W1575867194 @default.
- W21360042 hasRelatedWork W1580502441 @default.
- W21360042 hasRelatedWork W1631356911 @default.
- W21360042 hasRelatedWork W1760285719 @default.
- W21360042 hasRelatedWork W1960332849 @default.
- W21360042 hasRelatedWork W1987642510 @default.
- W21360042 hasRelatedWork W1988675160 @default.
- W21360042 hasRelatedWork W2021327660 @default.
- W21360042 hasRelatedWork W2028406173 @default.
- W21360042 hasRelatedWork W2041518499 @default.
- W21360042 hasRelatedWork W2069609886 @default.
- W21360042 hasRelatedWork W2080505327 @default.
- W21360042 hasRelatedWork W2091845976 @default.
- W21360042 hasRelatedWork W2115757125 @default.
- W21360042 hasRelatedWork W2164423904 @default.
- W21360042 hasRelatedWork W2400052931 @default.
- W21360042 hasRelatedWork W2964037983 @default.
- W21360042 hasRelatedWork W2987537998 @default.
- W21360042 hasRelatedWork W2033216491 @default.
- W21360042 isParatext "false" @default.
- W21360042 isRetracted "false" @default.
- W21360042 magId "21360042" @default.
- W21360042 workType "article" @default.