Topic
Resource conversion
11 records: 11 unsolved, 0 solved. Filter the catalog by this topic →
-
Distillation of every Wigner-negative depolarized Strange state
Can every Wigner-negative state in the depolarized qutrit Strange-state family be distilled arbitrarily accurately by catalyst-free stabilizer operations?
Unsolved -
Qutrit magic-distillation thresholds beyond the ternary Golay code
Does any finite qutrit stabilizer-code protocol distill depolarized Strange states above the ternary Golay code’s threshold?
Unsolved -
Optimal asymptotic distillation yield of dephased T states
What is the optimal catalyst-free asymptotic \(T\)-state yield of a dephased single-qubit \(T\) state?
Unsolved -
Optimal universal eight-copy concentration to a CCZ state
What is the optimal success probability for a fixed catalyst-free stabilizer protocol that converts eight copies of an arbitrary unknown pure qubit into an exact \(|CCZ\rangle\) state?
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 -
Asymptotic nonclassical-state conversion by linear optics
What is the optimal asymptotic conversion rate between finite-energy bosonic states under passive linear-optical protocols?
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 -
Finite-alphabet nonsignalling simulation of entangled qubits
For every partially entangled two-qubit pure state, does some fixed finite-alphabet nonsignalling resource give an exact noncommunicating simulation of all local projective measurements?
Unsolved -
Universal simulation with two PR boxes
Can shared randomness and at most two Popescu–Rohrlich boxes exactly simulate every pair of local projective measurements on every two-qubit state, without communication?
Unsolved -
Resources for implementing Gibbs-preserving channels
What are the exact one-shot coherence and work costs of implementing an arbitrary Gibbs-preserving channel by thermal operations?
Unsolved