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Masanao Ozawa - One of the best experts on this subject based on the ideXlab platform.
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experimental test of entropic Noise Disturbance uncertainty relations for spin 1 2 measurements
Physical Review Letters, 2015Co-Authors: Georg Sulyok, Bulent Demirel, Francesco Buscemi, Michael J W Hall, Masanao OzawaAbstract:Information-theoretic definitions for Noise and Disturbance in quantum measurements were given in [Phys. Rev. Lett. 112, 050401 (2014)] and a state-independent Noise-Disturbance uncertainty relation was obtained. Here, we derive a tight Noise-Disturbance uncertainty relation for complementary qubit observables and carry out an experimental test. Successive projective measurements on the neutron's spin-1/2 system, together with a correction procedure which reduces the Disturbance, are performed. Our experimental results saturate the tight Noise-Disturbance uncertainty relation for qubits when an optimal correction procedure is applied.
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experimental test of entropic Noise Disturbance uncertainty relations for spin 1 2 measurements
Physical Review Letters, 2015Co-Authors: Georg Sulyok, Masanao Ozawa, Bulent Demirel, Francesco Buscemi, Michael J W Hall, Stephan Sponar, Yuji HasegawaAbstract:Experiments on neutrons confirm an information-theoretic formulation of Heisenberg's Noise-Disturbance uncertainty principle: There is a reciprocal trade-off in knowledge of two incompatible spin observables.
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Noise and Disturbance in quantum measurements an information theoretic approach
Physical Review Letters, 2014Co-Authors: Francesco Buscemi, Masanao Ozawa, Michael J W Hall, Mark M WildeAbstract:We introduce information-theoretic definitions for Noise and Disturbance in quantum measurements and prove a state-independent Noise-Disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under relabelling of outcomes, and allow for the possibility of using quantum or classical operations to `correct' for the Disturbance. We also show how our bound implies strong tradeoff relations for mean square deviations.
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Noise and Disturbance in quantum measurements an information theoretic approach
Physical Review Letters, 2014Co-Authors: Francesco Buscemi, Masanao Ozawa, Michael J W Hall, Mark M WildeAbstract:We introduce information-theoretic definitions for Noise and Disturbance in quantum measurements and prove a state-independent Noise-Disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under the relabelling of outcomes and allow for the possibility of using quantum or classical operations to "correct" for the Disturbance. We also show how our bound implies strong tradeoff relations for mean square deviations.
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universal uncertainty principle in the measurement operator formalism
Journal of Optics B-quantum and Semiclassical Optics, 2005Co-Authors: Masanao OzawaAbstract:Heisenberg's uncertainty principle has been understood to set a limitation on measurements; however, the long-standing mathematical formulation established by Heisenberg, Kennard, and Robertson does not allow such an interpretation. Recently, a new relation was found to give a universally valid relation between Noise and Disturbance in general quantum measurements, and it has become clear that the new relation plays a role of the first principle to derive various quantum limits on measurement and information processing in a unified treatment. This paper examines the above development on the Noise–Disturbance uncertainty principle in the model-independent approach based on the measurement operator formalism, which is widely accepted to describe a class of generalized measurements in the field of quantum information. We obtain explicit formulae for the Noise and Disturbance of measurements given by measurement operators, and show that projective measurements do not satisfy the Heisenberg-type Noise–Disturbance relation that is typical in the gamma-ray microscope thought experiments. We also show that the Disturbance on a Pauli operator of a projective measurement of another Pauli operator constantly equals , and examine how this measurement violates the Heisenberg-type relation but satisfies the new Noise–Disturbance relation.
Francesco Buscemi - One of the best experts on this subject based on the ideXlab platform.
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experimental test of entropic Noise Disturbance uncertainty relations for spin 1 2 measurements
Physical Review Letters, 2015Co-Authors: Georg Sulyok, Bulent Demirel, Francesco Buscemi, Michael J W Hall, Masanao OzawaAbstract:Information-theoretic definitions for Noise and Disturbance in quantum measurements were given in [Phys. Rev. Lett. 112, 050401 (2014)] and a state-independent Noise-Disturbance uncertainty relation was obtained. Here, we derive a tight Noise-Disturbance uncertainty relation for complementary qubit observables and carry out an experimental test. Successive projective measurements on the neutron's spin-1/2 system, together with a correction procedure which reduces the Disturbance, are performed. Our experimental results saturate the tight Noise-Disturbance uncertainty relation for qubits when an optimal correction procedure is applied.
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experimental test of entropic Noise Disturbance uncertainty relations for spin 1 2 measurements
Physical Review Letters, 2015Co-Authors: Georg Sulyok, Masanao Ozawa, Bulent Demirel, Francesco Buscemi, Michael J W Hall, Stephan Sponar, Yuji HasegawaAbstract:Experiments on neutrons confirm an information-theoretic formulation of Heisenberg's Noise-Disturbance uncertainty principle: There is a reciprocal trade-off in knowledge of two incompatible spin observables.
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Noise and Disturbance in quantum measurements an information theoretic approach
Physical Review Letters, 2014Co-Authors: Francesco Buscemi, Masanao Ozawa, Michael J W Hall, Mark M WildeAbstract:We introduce information-theoretic definitions for Noise and Disturbance in quantum measurements and prove a state-independent Noise-Disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under relabelling of outcomes, and allow for the possibility of using quantum or classical operations to `correct' for the Disturbance. We also show how our bound implies strong tradeoff relations for mean square deviations.
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Noise and Disturbance in quantum measurements an information theoretic approach
Physical Review Letters, 2014Co-Authors: Francesco Buscemi, Masanao Ozawa, Michael J W Hall, Mark M WildeAbstract:We introduce information-theoretic definitions for Noise and Disturbance in quantum measurements and prove a state-independent Noise-Disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under the relabelling of outcomes and allow for the possibility of using quantum or classical operations to "correct" for the Disturbance. We also show how our bound implies strong tradeoff relations for mean square deviations.
Michael J W Hall - One of the best experts on this subject based on the ideXlab platform.
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experimental test of entropic Noise Disturbance uncertainty relations for spin 1 2 measurements
Physical Review Letters, 2015Co-Authors: Georg Sulyok, Bulent Demirel, Francesco Buscemi, Michael J W Hall, Masanao OzawaAbstract:Information-theoretic definitions for Noise and Disturbance in quantum measurements were given in [Phys. Rev. Lett. 112, 050401 (2014)] and a state-independent Noise-Disturbance uncertainty relation was obtained. Here, we derive a tight Noise-Disturbance uncertainty relation for complementary qubit observables and carry out an experimental test. Successive projective measurements on the neutron's spin-1/2 system, together with a correction procedure which reduces the Disturbance, are performed. Our experimental results saturate the tight Noise-Disturbance uncertainty relation for qubits when an optimal correction procedure is applied.
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experimental test of entropic Noise Disturbance uncertainty relations for spin 1 2 measurements
Physical Review Letters, 2015Co-Authors: Georg Sulyok, Masanao Ozawa, Bulent Demirel, Francesco Buscemi, Michael J W Hall, Stephan Sponar, Yuji HasegawaAbstract:Experiments on neutrons confirm an information-theoretic formulation of Heisenberg's Noise-Disturbance uncertainty principle: There is a reciprocal trade-off in knowledge of two incompatible spin observables.
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Noise and Disturbance in quantum measurements an information theoretic approach
Physical Review Letters, 2014Co-Authors: Francesco Buscemi, Masanao Ozawa, Michael J W Hall, Mark M WildeAbstract:We introduce information-theoretic definitions for Noise and Disturbance in quantum measurements and prove a state-independent Noise-Disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under relabelling of outcomes, and allow for the possibility of using quantum or classical operations to `correct' for the Disturbance. We also show how our bound implies strong tradeoff relations for mean square deviations.
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Noise and Disturbance in quantum measurements an information theoretic approach
Physical Review Letters, 2014Co-Authors: Francesco Buscemi, Masanao Ozawa, Michael J W Hall, Mark M WildeAbstract:We introduce information-theoretic definitions for Noise and Disturbance in quantum measurements and prove a state-independent Noise-Disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under the relabelling of outcomes and allow for the possibility of using quantum or classical operations to "correct" for the Disturbance. We also show how our bound implies strong tradeoff relations for mean square deviations.
Yuji Hasegawa - One of the best experts on this subject based on the ideXlab platform.
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experimental test of entropic Noise Disturbance uncertainty relations for three outcome qubit measurements
Physical Review Research, 2021Co-Authors: Stephan Sponar, Armin Danner, Vito Pecile, Nico Einsidler, Buelent Demirel, Yuji HasegawaAbstract:The authors present a neutron optical experiment and explore its performance in projective measurements with regards to information gain and Disturbance tradeoff in successive spin measurements.
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experimental test of entropic Noise Disturbance uncertainty relations for three outcome qubit measurements
arXiv: Quantum Physics, 2020Co-Authors: Stephan Sponar, Armin Danner, Vito Pecile, Nico Einsidler, Buelent Demirel, Yuji HasegawaAbstract:Information-theoretic uncertainty relations formulate the joint immeasurability of two non-commuting observables in terms of information entropies. The trade-off of the accuracy in the outcome of two successive measurements manifests in entropic Noise-Disturbance uncertainty relations. Recent theoretical analysis predicts that projective measurements are not optimal, with respect to the Noise-Disturbance trade-offs. Therefore the results in our previous letter [PRL 115, 030401 (2015)] are outperformed by general quantum measurements. Here, we experimentally test a tight information-theoretic measurement uncertainty relation for three-outcome positive-operator valued measures (POVM), using neutron spin-1/2 qubits. The obtained results violate the lower bound for projective measurements as theoretically predicted.
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experimental test of entropic Noise Disturbance uncertainty relations for spin 1 2 measurements
Physical Review Letters, 2015Co-Authors: Georg Sulyok, Masanao Ozawa, Bulent Demirel, Francesco Buscemi, Michael J W Hall, Stephan Sponar, Yuji HasegawaAbstract:Experiments on neutrons confirm an information-theoretic formulation of Heisenberg's Noise-Disturbance uncertainty principle: There is a reciprocal trade-off in knowledge of two incompatible spin observables.
Georg Sulyok - One of the best experts on this subject based on the ideXlab platform.
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experimental test of entropic Noise Disturbance uncertainty relations for spin 1 2 measurements
Physical Review Letters, 2015Co-Authors: Georg Sulyok, Bulent Demirel, Francesco Buscemi, Michael J W Hall, Masanao OzawaAbstract:Information-theoretic definitions for Noise and Disturbance in quantum measurements were given in [Phys. Rev. Lett. 112, 050401 (2014)] and a state-independent Noise-Disturbance uncertainty relation was obtained. Here, we derive a tight Noise-Disturbance uncertainty relation for complementary qubit observables and carry out an experimental test. Successive projective measurements on the neutron's spin-1/2 system, together with a correction procedure which reduces the Disturbance, are performed. Our experimental results saturate the tight Noise-Disturbance uncertainty relation for qubits when an optimal correction procedure is applied.
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experimental test of entropic Noise Disturbance uncertainty relations for spin 1 2 measurements
Physical Review Letters, 2015Co-Authors: Georg Sulyok, Masanao Ozawa, Bulent Demirel, Francesco Buscemi, Michael J W Hall, Stephan Sponar, Yuji HasegawaAbstract:Experiments on neutrons confirm an information-theoretic formulation of Heisenberg's Noise-Disturbance uncertainty principle: There is a reciprocal trade-off in knowledge of two incompatible spin observables.
