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Researchers Verify Quantum Coherence for a Set of States Using a Sagnac Interferometer

A Physical Review A paper reports a basis-independent experimental check of coherence for sets of quantum states, using a Sagnac interferometer, with BB84 states shown to have maximal set coherence.
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A team at Ningbo University has reported a direct experimental check of quantum coherence for a set of quantum states, rather than for a single state. The measurement is described as basis-independent. It was carried out with a Sagnac interferometer, and the authors report that theory and experiment agree. The paper, “Experimental quantification of quantum coherence for a set of quantum states,” appeared in Physical Review A on 22 April 2025. This is a laboratory result about how to quantify a property of states. It is not a deployed security system.

What the paper reports

The authors are Tianle Zheng, Liangsheng Li, Wenting Zhou and Chengjie Zhang, affiliated with Ningbo University and the National Key Laboratory of Scattering and Radiation. The paper is Physical Review A 111, article 042426. The journal lists it as received 19 July 2024, revised 18 March 2025 and accepted 25 March 2025.

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The abstract states: “We present direct experimental verification of quantum coherence for a set of quantum states in a basis-independent manner.” In the paper’s words, the group quantified coherence for two sets of experimental states using a Sagnac interferometer. They also introduce an application of set coherence and show that the states used in the BB84 protocol have maximal set coherence.

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What is quantum coherence?

Coherence describes whether a quantum state is a superposition of alternatives that can interfere, as opposed to a plain statistical mixture. It is a resource in quantum optics and quantum information. Usually it is defined relative to a chosen reference basis: the same state can look highly coherent in one basis and not at all in another.

Why “a set of states” and “basis-independent” matter

The two features of this work are easiest to see side by side with the more familiar single-state, fixed-basis approach.

Question Conventional single-state view This paper’s approach (per the abstract)
What is measured? One state A set of states
Is a basis chosen? Typically yes, and the result depends on it Described as basis-independent
Instrument Varies Sagnac interferometer
Applications Varies BB84 shown to have maximal set coherence; QKD and probabilistic quantum cloning named as prospects

A set-level measure suits protocols that use several states together, which is why BB84 is a natural test case.

How did the researchers measure it?

They used a Sagnac interferometer, an optical setup in which light travels the same loop in opposite directions, which tends to make it stable against disturbances. The abstract names the instrument but not its layout, calibration, error bars or goodness of fit. Those details sit in the full paper. This article does not claim anything about the precision, repeatability, scalability or superiority over earlier methods.

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What does coherence have to do with BB84?

BB84 is a well-known quantum key distribution protocol that encodes bits in states drawn from more than one measurement basis. The authors report that the BB84 states have maximal set coherence. That is a statement about a property of the state set under their measure. It does not show that any real-world key distribution became more secure.

What the result does not show

  • No QKD system was deployed or tested for security in this experiment.
  • Quantum key distribution and probabilistic quantum cloning are named by the authors as areas of possible wider use. These are prospects, not demonstrated gains.
  • The abstract gives no numerical result that can be quoted with confidence. A secondary report from Quantum Zeitgeist cites a value of 0.524 for sets of three states, but that figure does not appear in the abstract and its definition is unverified here, so treat it with caution. The same report mentions possible experimental error and reservations about extending the idea beyond individual qubits, without a technical uncertainty analysis or named sources.
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Where to go deeper

To judge the rigor, read the full paper’s methods, figures and supplementary material in Physical Review A 111, 042426. For background on coherence, interferometers and BB84, a general quantum optics textbook covers the foundations.

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