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arXiv:quant-ph/0402212 · Physical Review A

Active and passive quantum erasers for neutral kaons

A. Bramòn, Gianni Garbarino, Beatrix C. Hiesmayr

Published Jun 23, 2004• 53 citations
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Abstract

Quantum marking and quantum erasure are discussed for the neutral kaon system. Contrary to other two-level systems, the strangeness and lifetime of a neutral kaon state can be alternatively measured via an ``active'' or a ``passive'' procedure. This offers quantum erasure possibilities. In particular, the operation of a quantum eraser in the ``delayed choice'' mode is clearly illustrated.

DOI
10.1103/physreva.69.062111

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Quantum marking and quantum erasure are discussed for the neutral kaon system. Contrary to other two-level systems, the strangeness and lifetime of a neutral kaon state can be alternatively measured via an active'' or a passive'' procedure. This offers quantum erasure possibilities. In particular, the operation of a quantum eraser in the ``delayed choice'' mode is clearly illustrated.
The aim of this contribution is to illustrate two basic aspects of quantum mechanics applied to the neutral kaon system. We first describe a recent quantitative formulation of Bohr's complementarity principle for free--space evolution of single kaons and entangled kaon pairs. We then show that the neutral kaon system is also suitable for an optimal demonstration of the ``quantum eraser'', including its operation in the ``delayed choice'' mode. In our discussions, strangeness oscillations play the role of the traditional interference pattern linked to wave--like behaviour. The role of the two interferometric paths taken by particle--like objects is played by the differently propagating KSK_SKS​ and KLK_LKL​ components. Their distinct decay widths provide a quantum ``mark'' which can be erased by appropriate strangeness measurements.
The neutral kaon system is shown to be suitable to discuss extensions and tests of Bohr's complementarity principle through the quantum marking and quantum erasure techniques suggested by Scully and Drühl [Phys. Rev. A 25, 2208 (1982)]]. Strangeness oscillations play the role of the traditional interference pattern linked to wavelike behavior, whereas the different propagation in free space of the K(S) and K(L) components mimics the two possible interferometric paths taken by particlelike objects.
Neutral kaons are unique quantum systems to show some of the most puzzling peculiarities of quantum mechanics. Here we focus on a quantitative version of Bohr's complementary principle and on quantum marking and eraser concepts. In detail we show that neutral kaons (1) are kind of double slit devices encapsulating Bohr's complementarity principle in a simple and transparent way, and (2) offer marking and eraser options which are not afforded by other quantum systems and which can be performed at the DAPHNE machine.
Testing quantum foundations for systems in high energy physics gets currently more and more attention e.g. witnessed for entangled neutral K‐mesons by the approved programme of the KLOE collaboration at the accelerator facility DAPHNE (Frascati, Italy). We focus on this quantum system in high energy physics and discuss two topics, Bell inequalities and the kaonic quantum eraser, and show how the neutral kaon system differs from systems of ordinary matter and light. In detail, we show a relation of the imbalance of matter and antimatter to the violation of a Bell inequality and discuss another Bell inequality which is maximally violated for a non‐maximally entangled state though neutral kaons can be considered as two state systems. We compare in general this system in high energy physics with bipartite qudits. Last but not least we review the quantum marking and eraser procedure and explain why neutral kaons offer more eraser possibilities than usual quantum systems.