22 problems

For every finite two-player entangled game $G$ with $\omega^*(G)<1$, must $\omega^*(G^{\otimes n})$ decay exponentially in $n$?

For an even cycle of size $N$ and depth $p$ satisfying $2p+2\leq N$, is the optimal QAOA approximation ratio for MaxCut exactly …

For every local dimension $d\geq 2$, the Werner state $\rho_{\alpha}$ is two-copy undistillable if and only if $-\frac{1}{2}\leq\alpha\leq 1$. Equivalently, $\rho_{\alpha}$ is two-…

The answer is affirmative. For every $n\geq 1$, there exists a one-time private-key quantum encryption scheme for one-bit classical messages with a $(2n-1)$-bit classical key and a…

Can efficient one-bit quantum encryption prevent an adversary from producing two systems that both reveal the plaintext after the key is disclosed?

Can a single fixed cost operator turn coupling-based quantum optimal transport into a metric, or square-root metric, on the full quantum state space?

Let $\rho\in\mathbb{C}^{d\times d}$ be an unknown quantum state with spectrum $\alpha=(\alpha_{1},\ldots,\alpha_{d})$. Given copies of $\rho$, estimate $\alpha$ to total variation…

For the thermal attenuator $\Phi_{\eta,\nu}$, is the coherent information optimized over all input states equal to that optimized over the set $\mathsf{G}_{1}$ of single-mode Gauss…

Let $\mathcal{N}_{D}$ be a unital qubit channel whose Heisenberg adjoint has Bloch matrix $D$. The channel is incompatibility breaking for arbitrary POVMs, meaning that for every f…

Does high-temperature quantum correlation decay extend to higher-dimensional geometrically local systems throughout the zero-free regime without imposing logarithmic separation bet…

Do long-range quantum spin systems exhibit a system-size-independent, constant-temperature transition above which every Gibbs state is separable, and what is the sharp dependence o…

Does bipartite classical bound information exist: correlations with positive secrecy cost but zero distillable secret-key rate?

Let $\rho_{AB}$ and $\sigma_{AB}$ be quantum states, let $d=\dim A\geq 2$, and suppose that $T(\rho_{AB},\sigma_{AB})\leq\delta\leq 1$, where $T$ is the trace distance. Then … If…

Can a complete edge-coloured, complex-weighted graph be chosen so that perfect-matching amplitudes equal one for every monochromatic inherited vertex colouring and vanish for every…

Can the search for an interpretable photonic experiment that prepares a prescribed quantum state be formulated and solved exactly, rather than relying only on continuous optimizati…

Can the Mean King’s quantum retrodiction puzzle be implemented beyond qubits with a scalable photonic scheme that retains a clear advantage over the best classical strategy?

How can one manipulate and control the general case of $n$-photon, $d$-dimensional quantum states with experimentally meaningful photonic transformations?

Can one automatically discover a human-readable program that generates correct quantum-optical experiments for every size in a state family, including families for which no constru…

Can essential multiphoton gates be implemented non-locally between spatially separated photons without sending the photons to one location, pre-sharing entanglement, or performing…

For which values of $n$ and $d$ do there exist bi-colored weighted graphs on $n$ vertices and with $d$ different colors such that all $d$ monochromatic inherited vertex colorings h…

Can $\operatorname{AME}(11,4)$ be realized by an explicit circulant graph-state construction?

Does an absolutely maximally entangled state of eleven local systems of dimension five exist?