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We analyze quantum state tomography in scenarios where measurements and states are both constrained.
Elliptische differentialoperatoren und ganzzahligkeitssätze für charakteristische zahlen
Karl Heinz Mayer · 1965
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Immersing projective spaces
R James Milgram · 1967
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Foundations of differentiable manifolds and Lie groups
Frank W Warner · 1971
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Pauli problem for a spin of arbitrary length: A simple method to determine its wave function
Stefan Weigert · 1992
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Operational quantum physics
Paul Busch, Marian Grabowski, and Pekka Johannes Lahti · 1995
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Reconstructing the density matrix of a spin s through stern-gerlach measurements
Jean-Pierre Amiet and Stefan Weigert · 1998
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Real algebraic geometry
Jacek Bochnak, Michel Coste, and Marie-Françoise Roy · 1998
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Reconstructing the density matrix of a spin s through stern-gerlach measurements: Ii
Jean-Pierre Amiet and Stefan Weigert · 1999
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Lower bounds for the immersion dimension of homogeneous spaces
Markus Walgenbach · 2001
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Pure-state informationally complete and “really” complete measurements
J Finkelstein · 2004
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Minimal informationally complete measurements for pure states
Steven T Flammia, Andrew Silberfarb, and Carlton M Caves · 2005
Cited alongside, same era.
On signal reconstruction without phase
Radu Balan, Pete Casazza, and Dan Edidin · 2006
Cited alongside, same era.
Geometric measure theory: a beginner’s guide
Frank Morgan · 2008
Cited alongside, same era.
Quantum state tomography via compressed sensing
David Gross, Yi-Kai Liu, Steven T Flammia, Stephen Becker, and Jens Eisert · 2010
Cited alongside, same era.
Recovering low-rank matrices from few coefficients in any basis
David Gross · 2011
Cited alongside, same era.
Tasks and premises in quantum state determination
Claudio Carmeli, Teiko Heinosaari, Jussi Schultz, and Alessandro Toigo · 2014
Later among the works it cites.
Uniqueness results in an extension of pauli’s phase retrieval problem
Philippe Jaming · 2014
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The role of topology in quantum tomography
Michael Kech, Péter Vrana, and Michael Wolf · 2015
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Expanding the principle of local distinguishability
Claudio Carmeli, Teiko Heinosaari, Jussi Schultz, and Alessandro Toigo · 2015
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An algebraic characterization of injectivity in phase retrieval
Aldo Conca, Dan Edidin, Milena Hering, and Cynthia Vinzant · 2015
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Stable phase retrieval with low-redundancy frames
Bernhard G Bodmann and Nathaniel Hammen · 2015
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Probabilistic and statistical aspects of quantum theory
Alexander S Holevo · 2011
Cited alongside, same era.
Quantum tomography under prior information
Teiko Heinosaari, Luca Mazzarella, and Michael M Wolf · 2013
Cited alongside, same era.
Determination of all pure quantum states from a minimal number of observables
Damien Mondragon and Vladislav Voroninski · 2013
Cited alongside, same era.
A partial derandomization of phaselift using spherical designs
David Gross, Felix Krahmer, and Richard Kueng · 2015
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How many orthonormal bases are needed to distinguish all pure quantum states?
Claudio Carmeli, Teiko Heinosaari, Jussi Schultz, and Alessandro Toigo · 2015
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Low rank matrix recovery from rank one measurements
Richard Kueng, Holger Rauhut, and Ulrich Terstiege · 2015
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