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pro vyhledávání: '"Appleby, D"'
Autor:
Appleby, D. M.
Busch, Lahti and Werner (BLW) have recently criticized the operator approach to the description of quantum errors and disturbances. Their criticisms are justified to the extent that the physical meaning of the operator definitions has not hitherto be
Externí odkaz:
http://arxiv.org/abs/1602.09002
Autor:
Graydon, Matthew A., Appleby, D. M.
Publikováno v:
J. Phys. A: Math. Theor. 49 (2016) 33LT02
We describe a connection between entanglement and designs. It involves the conical 2-designs introduced in a previous paper. These are a generalization of projective 2-designs which includes full sets of arbitrary rank mutually unbiased measurements
Externí odkaz:
http://arxiv.org/abs/1507.07881
Autor:
Graydon, Matthew A., Appleby, D. M.
Publikováno v:
J. Phys. A: Math. Theor. 49 (2016) 085301
Complex projective t-designs, particularly SICs and full sets of MUBs, play an important role in quantum information. We introduce a generalization which we call conical t-designs. They include arbitrary rank symmetric informationally complete measur
Externí odkaz:
http://arxiv.org/abs/1507.05323
A Galois unitary is a generalization of the notion of anti-unitary operators. They act only on those vectors in Hilbert space whose entries belong to some chosen number field. For Mutually Unbiased Bases the relevant number field is a cyclotomic fiel
Externí odkaz:
http://arxiv.org/abs/1409.7987
Although symmetric informationally complete positive operator valued measures (SIC POVMs, or SICs for short) have been constructed in every dimension up to 67, a general existence proof remains elusive. The purpose of this paper is to show that the S
Externí odkaz:
http://arxiv.org/abs/1312.0555
Autor:
Appleby, D. M.
It is argued that the problem of interpreting quantum mechanics, and the philosophical problem of consciousness, both have their roots in the same set of misguided Cartesian assumptions. The confusions underlying those assumptions are analyzed in det
Externí odkaz:
http://arxiv.org/abs/1305.7381
Autor:
Tabia, Gelo Noel M., Appleby, D. M.
Publikováno v:
Phys. Rev. A 88, 012131 (2013)
We examine the geometric structure of qutrit state space by identifying the outcome probabilities of symmetric informationally complete (SIC) measurements with quantum states. We categorize the infinitely many qutrit SICs into eight SIC families corr
Externí odkaz:
http://arxiv.org/abs/1304.8075
Publikováno v:
Quantum Inf Process 12 (2013) 3449
Five years ago, Lane Hughston showed that some of the symmetric informationally complete positive operator valued measures (SICs) in dimension 3 coincide with the Hesse configuration (a structure well known to algebraic geometers, which arises from t
Externí odkaz:
http://arxiv.org/abs/1211.0215
Autor:
Appleby, D. M., Bengtsson, Ingemar, Brierley, Stephen, Ericsson, Åsa, Grassl, Markus, Larsson, Jan-Åke
Publikováno v:
Quantum Information and Computation, Vol. 14, No. 3 & 4, 0339-0360 (2014)
It is known that if the dimension is a perfect square the Clifford group can be represented by monomial matrices. Another way of expressing this result is to say that when the dimension is a perfect square the standard representation of the Clifford
Externí odkaz:
http://arxiv.org/abs/1210.1055
Symmetric Informationally Complete Positive Operator Valued Measures (usually referred to as SIC-POVMs or simply as SICS) have been constructed in every dimension up to 67. However, a proof that they exist in every finite dimension has yet to be cons
Externí odkaz:
http://arxiv.org/abs/1209.1813