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Mutually Unbiased Bases, ETFs, and Zauner’s Conjecture — Problem 23
Mutually Unbiased Bases, ETFs, and Zauner’s Conjecture — Problem 22
Determine whether quantum effects prevent the formation of closed timelike curves from physically admissible initial conditions, and specify the assumptions under which such protection holds.
Identify precise generic initial-data and matter assumptions under which gravitational collapse cannot produce singularities visible to distant observers, or construct counterexamples within those assumptions.
Formulate and test holographic descriptions for quantum gravity with de Sitter or other non-AdS asymptotic boundary conditions.
Explain how an evaporating black hole preserves and releases quantum information, including the relation between semiclassical Hawking radiation and a unitary microscopic description.
Construct a quantum description of gravity with a controlled classical limit reproducing general relativity and experimentally distinguishable predictions.
Compact continuous-variable ZX diagrams for GKP and cat codes — original question and dated source context.
Syndromes and errors during non-Clifford logical gates — original question and dated source context.
ZX descriptions of basic error correction and magic-state distillation — original question and dated source context.
Polynomial system-size cost for learning a local Hamiltonian coefficient — original question and dated source context.
Learning ground-state parent Hamiltonians in polynomial time — original question and dated source context.
Does amplitude estimation require the inverse unitary? — original question and dated source context.
System-size lower bounds for Hamiltonian learning — original question and dated source context.
Learning Hamiltonians using only long time evolutions — original question and dated source context.
Tight bounds and natural examples for quantum channel testing — original question and dated source context.
Instance-optimal state certification with entangled measurements — original question and dated source context.
Optimal sample complexity of shadow tomography — original question and dated source context.
A hierarchy with one additional quantum replica — original question and dated source context.
NISQ query lower bounds and natural oracle separations — original question and dated source context.
Sample complexity of entanglement testing — original question and dated source context.
Memory lower bounds beyond twice the input qubits — original question and dated source context.
Uses of feedforward control in mesoscopic systems — original question and dated source context.
Adaptive measurement protocols for small quantum systems — original question and dated source context.
Easy objectives for open-loop quantum control — original question and dated source context.