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Experimental quantum state learning with pairs of photons
C. Pria Dobney, Johan Henaff, Allen Kasum +5
Tomography allows one to estimate the density matrix describing the state an ensemble of quantum systems are prepared in (for example, polarization tomography determines the polari…
State learning from pairs of states
Pranjal Agarwal, Nada Ali, Camilla Polvara +3
Suppose you receive a sequence of qubits where each qubit is guaranteed to be in one of two pure states, but you do not know what those states are. Your task is to determine the st…
Uncertainty relations revisited
Berthold-Georg Englert
Introductory courses on quantum mechanics usually include lectures on uncertainty relations, typically the inequality derived by Robertson and, perhaps, other statements. For the b…
Sampling quantum states with inequality constraints
Weijun Li, Rui Han, Jiangwei Shang +2
Random samples of quantum states with specific properties are useful for various applications, such as Monte Carlo integration over the state space. In the high-dimensional situati…
Quantum Dynamical Simulation of a Transversal Stern--Gerlach Interferometer
Mikołaj M. Paraniak, Berthold-Georg Englert
Originally conceived as a gedankenexperiment, an apparatus consisting of two Stern--Gerlach apparatuses joined in an inverted manner touched on the fundamental question of the reve…
Uncorrelated problem-specific samples of quantum states from zero-mean Wishart distributions
Rui Han, Weijun Li, Shrobona Bagchi +2
Random samples of quantum states are an important resource for various tasks in quantum information science, and samples in accordance with a problem-specific distribution can be i…