His primary areas of investigation include Quantum mechanics, Quantum algorithm, Quantum information, Quantum capacity and Quantum tomography. His work in the fields of Quantum entanglement, String field theory and Non-critical string theory overlaps with other areas such as Type I string theory. His Non-critical string theory study combines topics in areas such as Superstring theory, Particle physics, Heterotic string theory and Supersymmetric gauge theory.
Quantum information is closely attributed to Quantum computer in his work. He has researched Quantum capacity in several fields, including Cluster state, Theoretical physics, No-communication theorem and Discrete mathematics. The study incorporates disciplines such as Density matrix and Algorithm in addition to Quantum tomography.
His primary scientific interests are in Quantum mechanics, Quantum, Quantum information, Algorithm and Quantum state. His work carried out in the field of Quantum mechanics brings together such families of science as Theoretical physics and Mathematical physics. His Quantum information research integrates issues from Discrete mathematics, Quantum algorithm and Pure mathematics.
His study focuses on the intersection of Quantum algorithm and fields such as Open quantum system with connections in the field of Quantum network. His study explores the link between Algorithm and topics such as Quantum tomography that cross with problems in Density matrix. His research integrates issues of Quantum system and Wigner distribution function in his study of Quantum state.
His primary areas of study are Quantum, Group, Quantum state, Algorithm and Tensor product. His Quantum research is multidisciplinary, incorporating elements of Theoretical physics, Pauli exclusion principle, Probabilistic logic, Statistical physics and Computation. The concepts of his Computation study are interwoven with issues in Photonics and Quantum algorithm.
In Group, David Gross works on issues like Duality, which are connected to Combinatorics, Orthogonal group, Representation theory and Rank. The Quantum state study combines topics in areas such as Structure, Multipartite, Homogeneous space, Mathematical structure and Ground state. In his work, Matrix is strongly intertwined with Quantum tomography, which is a subfield of Algorithm.
His main research concerns Quantum, Discrete mathematics, Group, Quantum information and Zero. His research investigates the connection between Quantum and topics such as Algorithm that intersect with problems in Quantum channel. In general Discrete mathematics study, his work on Polytope often relates to the realm of Moment, Convergence and Uniform distribution, thereby connecting several areas of interest.
His studies in Group integrate themes in fields like Computation and Word error rate. Within one scientific family, David Gross focuses on topics pertaining to Random matrix under Quantum information, and may sometimes address concerns connected to Quantum tomography. His Quantum state study incorporates themes from Time complexity and Quantum computer.
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The Heterotic String
David J. Gross;Ryan Rohm;Emil J. Martinec;Jeffrey A. Harvey.
Physical Review Letters (1984)
Quantum state tomography via compressed sensing.
David Gross;Yi-Kai Liu;Steven T. Flammia;Stephen Becker.
Physical Review Letters (2010)
Recovering Low-Rank Matrices From Few Coefficients in Any Basis
IEEE Transactions on Information Theory (2011)
An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory
Nadav Drukker;David J. Gross.
Journal of Mathematical Physics (2001)
Efficient quantum state tomography
Marcus Cramer;Martin B. Plenio;Steven T. Flammia;Rolando Somma.
Nature Communications (2010)
Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators
Steven T Flammia;David Gross;Yi-Kai Liu;Jens Eisert.
New Journal of Physics (2012)
Lectures on Current Algebra and Its Applications
Sam B. Treiman;Roman W. Jackiw;David J. Gross.
Novel Schemes for Measurement-Based Quantum Computation
D. Gross;J. Eisert.
Physical Review Letters (2007)
Negative quasi-probability as a resource for quantum computation
Victor Veitch;Christopher Ferrie;David Gross;Joseph Emerson.
New Journal of Physics (2012)
Most quantum States are too entangled to be useful as computational resources.
D. Gross;S. T. Flammia;J. Eisert;J. Eisert.
Physical Review Letters (2009)
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