Can different quantum state vectors correspond to the same physical state? An experimental test by Daniel Nigg, Thomas Monz, Philipp Schindler, Esteban A Martinez, Markus Hennrich, Rainer Blatt, Matthew F Pusey, Terry Rudolph, Jonathan Barrett

“…If a physicist claims to have produced a system with a particular quantum state vector, does this represent directly a physical property of the system, or is the state vector merely a summary of the physicist’s information about the system? …”
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Can different quantum state vectors correspond to the same physical state? An experimental test by Nigg, D, Monz, T, Schindler, P, Martinez, E, Hennrich, M, Blatt, R, Pusey, M, Rudolph, T, Barrett, J

“…If a physicist claims to have produced a system with a particular quantum state vector, does this represent directly a physical property of the system, or is the state vector merely a summary of the physicist's information about the system? …”

Can different quantum state vectors correspond to the same physical state? An experimental test by Nigg, D, Monz, T, Schindler, P, Martinez, E, Chwalla, M, Hennrich, M, Blatt, R, Pusey, M, Rudolph, T, Barrett, J

Exploring student ideas on change of basis in quantum mechanics by Giaco Corsiglia, Benjamin P. Schermerhorn, Homeyra Sadaghiani, Armando Villaseñor, Steven Pollock, Gina Passante

“…For instance, we find a recurring idea that changing basis alters the physical system, and observe that some students chose to relabel the ket representing a quantum state vector after changing basis. Together, these results paint a broad, qualitative picture of a variety of ways that students grapple with basis and change of basis, with potential implications for instruction.…”
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Hamiltonian approach and quantization of D = 3, N=1 $$ \mathcal{N}=1 $$ supersymmetric non-Abelian multiwave system by Igor Bandos, M. Sabido

“…We discuss the Clifford superfield representation for the quantum state vector and in the simplest case of N = 2 elaborate it in a bit more detail. …”
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Quantum Information in Neural Systems by Danko D. Georgiev

“…In contrast, quantum interactions with their associated decoherence of individual subsystems are instrumental for dynamical changes in the quantum entanglement of the composite quantum state vector and manifested correlations of different observable outcomes. …”
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On Quantum Representation of the Linear Canonical Wavelet Transform by H. M. Srivastava, Firdous A. Shah, Aajaz A. Teali

“…Using the machinery of Dirac representation theory and integration within an ordered product of operators, we recast the linear canonical wavelet transform to a matrix element of the squeezing–displacing operator <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">U</mi><mrow><mo>(</mo><mi>μ</mi><mo>,</mo><mi>s</mi><mo>)</mo></mrow><mspace width="0.166667em"></mspace><msub><mi mathvariant="script">K</mi><mi>M</mi></msub></mrow></semantics></math></inline-formula> between analyzing vector <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">⟨</mo><mi>ψ</mi><mo stretchy="false">|</mo></mrow></semantics></math></inline-formula> and two-mode quantum state vector <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">|</mo><mi>f</mi><mo stretchy="false">⟩</mo></mrow></semantics></math></inline-formula> to be transformed. …”
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Generalised Uncertainty Relations for Angular Momentum and Spin in Quantum Geometry by Matthew J. Lake, Marek Miller, Shi-Dong Liang

“…In the smeared-space model, <i>ħ</i> and <inline-formula> <math display="inline"> <semantics> <mi>β</mi> </semantics> </math> </inline-formula> are interpreted as the quantisation scales for matter and geometry, respectively, and a quantum state vector is associated with the spatial background. …”
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Fundamental limit on angular measurements and rotations from quantum mechanics and general relativity by Xavier Calmet, Stephen D.H. Hsu

“…Experiments cannot exclude the possibility that the space of quantum state vectors (i.e., Hilbert space) is fundamentally discrete, rather than continuous. …”
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Dynamical simulations of classical stochastic systems using matrix product states. by Johnson, T, Clark, S, Jaksch, D

“…We examine the use of MPS as an approximation method, looking at parallels between the interpretations of applying it to quantum state vectors and probability distributions. In the context of stochastic systems we consider two types of factorization for use in the TEBD algorithm: non-negative matrix factorization (NMF), which ensures that the approximate probability distribution is manifestly non-negative, and the singular value decomposition (SVD). …”

Q1Synth: A Quantum Computer Musical Instrument by Eduardo Reck Miranda, Peter Thomas, Paulo Vitor Itaboraí

“…This paper introduces Q1Synth, an unprecedented musical instrument that produces sounds from (a) quantum state vectors representing the properties of a qubit, and (b) its measurements. …”
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