Topic

Quantum state preparation

8 records: 8 unsolved, 0 solved. Filter the catalog by this topic →

Uniform modified log-Sobolev constant for one-dimensional Gibbs samplers
Do normalized one-dimensional Chen–Kastoryano–Gilyén Gibbs samplers have a positive modified log-Sobolev constant uniformly in system size at every fixed finite temperature?
Unsolved
CNOT-count and depth frontier for quantum Golay state preparation
What is the exact CNOT-count and depth frontier for ancilla-free Clifford preparation of the logical zero state of the \([[23,1,7]]_2\) quantum Golay code?
Unsolved
One-way state generation from private Hamiltonian phase states
Do private-architecture Hamiltonian phase states yield a one-way state generator for explicit polynomial parameters?
Unsolved
Exact constant-bond PEPS mixtures for two-dimensional Gibbs states
Is every fixed-temperature Gibbs state of a bounded finite-range qubit Hamiltonian on the square lattice an exact convex combination of PEPS with system-size-independent bond dimension?
Unsolved
Deterministic quadratic-size vertex-minor-universal graphs
Does there exist an absolute constant \(C>0\) and a deterministic algorithm that, for each integer \(k\geq2\) supplied in unary, runs in time \(k^{O(1)}\) and outputs a \(k\)-vertex-minor-universal graph with at most \(Ck^2\) vertices?
Unsolved
Quasi-linear graph-state resources for Pauli pairability
Does there exist an absolute constant \(a\geq0\) such that \(N_{\mathrm P}(k)=O(k[\log_2(k+1)]^a)\) as the integer \(k\geq2\) tends to infinity?
Unsolved
Universal purification with classically simulable operations
Can classically simulable operations purify an unknown depolarized pure state from any number of copies?
Unsolved
Collective cost of tensor-power state preparation
Determine the asymptotic weighted circuit cost of preparing tensor powers of a known pure state, and characterize when collective preparation is cheaper per copy than independent preparation.
Unsolved