Violation of Heisenberg’s Uncertainty Principle - Open Access Library Journal

OALibJ > Vol.2 No.8, August 2015

Open Access Library Journal

Volume 2, Issue 8 (August 2015)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 0.73 Citations

Violation of Heisenberg’s Uncertainty Principle ()

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DOI: 10.4236/oalib.1101797 1,447 Downloads 4,088 Views Citations

Author(s)

Koji Nagata¹, Tadao Nakamura²

Affiliation(s)

¹Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon, Korea.
²Department of Information and Computer Science, Keio University, Yokohama, Japan.

ABSTRACT

Recently, violation of Heisenberg’s uncertainty relation in spin measurements is discussed [J. Erhart et al., Nature Physics 8, 185 (2012)] and [G. Sulyok et al., Phys. Rev. A 88, 022110 (2013)]. We derive the optimal limitation of Heisenberg’s uncertainty principle in a specific two-level system (e.g., electron spin, photon polarizations, and so on). Some physical situation is that we would measure σ_x and σ_y, simultaneously. The optimality is certified by the Bloch sphere. We show that a violation of Heisenberg’s uncertainty principle means a violation of the Bloch sphere in the specific case. Thus, the above experiments show a violation of the Bloch sphere when we use ±1 as measurement outcome. This conclusion agrees with recent researches [K. Nagata, Int. J. Theor. Phys. 48, 3532 (2009)] and [K. Nagata et al., Int. J. Theor. Phys. 49, 162 (2010)].

KEYWORDS

Quantum Measurement Theory, Quantum Information Theory

Share and Cite:

Nagata, K. and Nakamura, T. (2015) Violation of Heisenberg’s Uncertainty Principle. Open Access Library Journal, 2, 1-6. doi: 10.4236/oalib.1101797.

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