Nature461, 504-506 (24 September 2009) | doi:10.1038/nature08363; Received 25 May 2009; Accepted 4 August 2009
Violation of Bell's inequality in Josephson phase qubits
Markus Ansmann1, H. Wang1, Radoslaw C. Bialczak1, Max Hofheinz1, Erik Lucero1, M. Neeley1, A. D. O'Connell1, D. Sank1, M. Weides1, J. Wenner1, A. N. Cleland1 & John M. Martinis1
Department of Physics, University of California, Santa Barbara, California 93106, USA
Correspondence to: John M. Martinis1 Correspondence and requests for materials should be addressed to J.M.M. (Email: martinis@physics.ucsb.edu).
The measurement process plays an awkward role in quantum mechanics, because measurement forces a system to 'choose' between possible outcomes in a fundamentally unpredictable manner. Therefore, hidden classical processes have been considered as possibly predetermining measurement outcomes while preserving their statistical distributions1. However, a quantitative measure that can distinguish classically determined correlations from stronger quantum correlations exists in the form of the Bell inequalities, measurements of which provide strong experimental evidence that quantum mechanics provides a complete description2, 3, 4. Here we demonstrate the violation of a Bell inequality in a solid-state system. We use a pair of Josephson phase qubits5, 6, 7 acting as spin-1/2 particles, and show that the qubits can be entangled8, 9 and measured so as to violate the Clauser–Horne–Shimony–Holt (CHSH) version of the Bell inequality10. We measure a Bell signal of 2.0732 0.0003, exceeding the maximum amplitude of 2 for a classical system by 244 standard deviations. In the experiment, we deterministically generate the entangled state, and measure both qubits in a single-shot manner, closing the detection loophole11. Because the Bell inequality was designed to test for non-classical behaviour without assuming the applicability of quantum mechanics to the system in question, this experiment provides further strong evidence that a macroscopic electrical circuit is really a quantum system7.