Equals DSPACE(2O(n)).
If E = ESPACE then P = BPP [HY84].
Indeed if E has nonzero measure in ESPACE then P = BPP [Lut91].
ESPACE is not contained in P/poly [Kan82].
Is not contained in BQP/mpoly [NY03].
See also: EXPSPACE.
The class of languages recognized by a syntactic BQP machine with deterministic polynomial advice that depends only on the input length, such that the output is correct with probability 2/3 when the advice is good.
Can also be defined as the class of problems solvable by a nonuniform family of polynomial-size quantum circuits, just as P/poly is the class solvable by a nonuniform family of polynomial-size classical circuits.
Referred to with a variety of other ad hoc names, including BQP/poly on occassion.
Contains BQP/qlog, and is contained in BQP/qpoly.
Does not contain ESPACE [NY03].
Equals the union of DSPACE(2p(n)) over all polynomials p.
See also: ESPACE.
Given a first-order statement about real numbers, involving only addition and comparison (no multiplication), we can decide in EXPSPACE whether it's true or not [Ber80].