Experimental testing of entropic uncertainty relations with multiple measurements in pure diamond

Abstract

One unique feature of quantum mechanics is the Heisenberg uncertainty principle, which states that the outcomes of two incompatible measurements cannot simultaneously achieve arbitrary precision. In an information-theoretic context of quantum information, the uncertainty principle can be formulated as entropic uncertainty relations with two measurements for a quantum bit (qubit) in two-dimensional system. New entropic uncertainty relations are studied for a higher-dimensional quantum state with multiple measurements, the uncertainty bounds can be tighter than that expected from two measurements settings and cannot result from qubits system with or without a quantum memory. Here we report the first room-temperature experimental testing of the entropic uncertainty relations with three measurements in a natural three-dimensional solid-state system: the nitrogen-vacancy center in pure diamond. The experimental results confirm the entropic uncertainty relations for multiple measurements. Our result represents a more precise demonstrating of the fundamental uncertainty principle of quantum mechanics.

8 pages, 5 figures, 2 tables

References in corpus (7)

• High-fidelity projective readout of a solid-state spin quantum register
• Decoherence-protected quantum gates for a hybrid solid-state spin register
• The uncertainty principle determines the non-locality of quantum mechanics
• Strong Majorization Entropic Uncertainty Relations
• Cryptography from Noisy Storage
• Entropic uncertainty relations for multiple measurements
• Nano-fabricated solid immersion lenses registered to single emitters in diamond