22 problems
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FGG conjecture for QAOA on the ring of disagrees
For an even cycle of size and depth satisfying , is the optimal QAOA approximation ratio for MaxCut exactly …
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Two-copy distillability of Werner states
Are Werner states in arbitrary dimension ever two-copy distillable when they are not one-copy distillable?
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Unconditional efficient one-bit unclonable encryption
Can one construct a plain-model, efficient, information-theoretically secure one-time unclonable-encryption scheme for one classical bit with exponentially small adversarial advant…
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Pauli encodings for unclonable encryption
Can efficient one-bit quantum encryption prevent an adversary from producing two systems that both reveal the plaintext after the key is disclosed?
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Fixed-cost quantum transport metrics
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?
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Optimality of the Keyl–Werner spectrum estimator
Is the Keyl–Werner weak-Schur-sampling estimator asymptotically optimal for learning the spectrum of an unknown -dimensional quantum state?
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Non-Gaussian communication beyond the thermal threshold
Is the standard thermal-state lower bound optimal among Gaussian inputs to a bosonic thermal attenuator, and can non-Gaussian inputs transmit quantum information in a strictly larg…
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Unital-qubit incompatibility-breaking criterion
Which unital qubit channels make every collection of output measurements jointly measurable, and do the projective-measurement and general-POVM thresholds coincide?
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Higher-dimensional quantum Gibbs correlation decay
Does high-temperature quantum correlation decay extend to higher-dimensional geometrically local systems throughout the zero-free regime without imposing logarithmic separation bet…
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Long-range quantum Gibbs-state separability threshold
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…
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Bipartite bound information exists
Does bipartite classical bound information exist: correlations with positive secrecy cost but zero distillable secret-key rate?
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Sharp quantum conditional-entropy continuity bound
What is the optimal uniform continuity bound for quantum conditional entropy in terms of trace distance and the dimension of the conditioned system alone?
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Monochromatic quantum graphs in the diagonal family
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…
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SAT synthesis of photonic state-preparation experiments
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…
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High-dimensional Mean King’s Problem
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?
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High-dimensional multipartite quantum transformations
How can one manipulate and control the general case of -photon, -dimensional quantum states with experimentally meaningful photonic transformations?
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Meta-solutions for quantum-state experiment families
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…
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Non-local photonic SWAP, CNOT, Toffoli, and Fredkin gates
Can essential multiphoton gates be implemented non-locally between spatially separated photons without sending the photons to one location, pre-sharing entanglement, or performing…
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Four-particle monochromatic quantum graphs for all
For four particles and local dimension , can a complete edge-coloured, complex-weighted graph have unit amplitude for every monochromatic inherited colouring and zero ampli…
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Explicit circulant construction of an state
Can be realized by an explicit circulant graph-state construction?
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Existence of an graph state
Does an absolutely maximally entangled state of eleven local systems of dimension five exist?
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Quantum parallel repetition for all two-player games
For every finite two-player entangled game with , must decay exponentially in ?