# A key role for quantum entanglement

A method known as quantum key distribution has long held the promise of communication security unattainable in conventional cryptography. An international team of scientists, including ETH physicists, has now demonstrated experimentally, for the first time, an approach to quantum key distribution that uses high-quality quantum entanglement to provide much broader security guarantees than previous schemes.

The art of cryptography is to skilfully transform messages so that they become meaningless to everyone but the intended recipients. Modern cryptographic schemes, such as those underpinning digital commerce, prevent adversaries from illegitimately deciphering messages — say, credit-card information — by requiring them to perform mathematical operations that consume a prohibitively large amount of computational power. Starting from the 1980s, however, ingenious theoretical concepts have been introduced in which security does not depend on the eavesdropper’s finite number-crunching capabilities. Instead, basic laws of quantum physics limit how much information, if any, an adversary can ultimately intercept. In one such concept, security can be guaranteed with only a few general assumptions about the physical apparatus used. Implementations of such ‘device-independent’ schemes have long been sought after, but remained out of reach. Until now, that is. Writing in *Nature*, an international team of researchers from the University of Oxford, EPFL, ETH Zurich, the University of Geneva and CEA (France) report the first demonstration of this sort of protocol — taking a decisive step towards practical devices offering such exquisite security.

## The key is a secret

Secure communication is all about keeping information private. It might be surprising, therefore, that in real-world applications large parts of the transactions between legitimate users are played out in public. The key is that sender and receiver do not have to keep their entire communication hidden. In essence, they only have to share one ‘secret’; in practice, this secret is string of bits, known as a cryptographic key, that enables everyone in its possession to turn coded messages into meaningful information. Once the legitimate parties have ensured for a given round of communication that they, and only they, share such a key, pretty much all the other communication can happen in plain view, for everyone to see. The question, then, is how to ensure that only the legitimate parties share a secret key. The process of accomplishing this is known as ‘key distribution’.

In the cryptographic algorithms underlying, for instance, RSA — one of the most widely used cryptographic systems — key distribution is based on the (unproven) conjecture that certain mathematical functions are easy to compute but hard to revert. More specifically, RSA relies on the fact that for today’s computers it is hard to find the prime factors of a large number, whereas it is easy for them to multiply known prime factors to obtain that number. Secrecy is therefore ensured by mathematical difficulty. But what is impossibly difficult today might be easy tomorrow. Famously, quantum computers can find prime factors significantly more efficiently than classical computers. Once quantum computers with a sufficiently large number of qubits become available, RSA encoding is destined to become penetrable.

But quantum theory provides the basis not only for cracking the cryptosystems at the heart of digital commerce, but also for a potential solution to the problem: a way entirely different from RSA for distributing cryptographic keys — one that has nothing to do with the hardness of performing mathematical operations, but with fundamental physical laws. Enter quantum key distribution, or QKD for short.

## Quantum-certified security

In 1991, the Polish-British physicist Artur Ekert showed in a seminal paper that the security of the key-distribution process can be guaranteed by directly exploiting a property that is unique to quantum systems, with no equivalent in classical physics: quantum entanglement. Quantum entanglement refers to certain types of correlations in the outcomes of measurements performed on separate quantum systems. Importantly, quantum entanglement between two systems is exclusive, in that nothing else can be correlated to these systems. In the context of cryptography this means that sender and receiver can produce between them shared outcomes through entangled quantum systems, without a third party being able to secretly gain knowledge about these outcomes. Any eavesdropping leaves traces that clearly flag the intrusion. In short: the legitimate parties can interact with one another in ways that are — thanks to quantum theory — fundamentally beyond any adversary’s control. In classical cryptography, an equivalent security guarantee is provably impossible.

Over the years, it was realized that QKD schemes based on the ideas introduced by Ekert can have a further remarkable benefit: users have to make only very general assumptions regarding the devices employed in the process. By contrast, earlier forms of QKD based on other basic principles require detailed knowledge about the inner workings of the devices used. The novel form of QKD is now generally known as ‘device-independent QKD’, and an experimental implementation thereof became a major goal in the field. Hence the excitement as such a breakthrough experiment has now finally been achieved.

## Culmination of years of work

The scale of the challenge is reflected in the breadth of the team, which combines leading experts in theory and experiment. The experiment involved two single ions — one for the sender and one for the receiver — confined in separate traps that were connected with an optical-fibre link. In this basic quantum network, entanglement between the ions was generated with record-high fidelity over millions of runs. Without such a sustained source of high-quality entanglement, the protocol could not have been run in a practically meaningful manner. Equally important was to certify that the entanglement is suitably exploited, which is done by showing that conditions known as Bell inequalities are violated. Moreover, for the analysis of the data and an efficient extraction of the cryptographic key, significant advances in the theory were needed.

Professor Renato Renner from the Institute for Theoretical Physics at ETH Zurich contributed to the theoretical advances that made this work possible For him, the now-achieved experimental demonstration is a culmination of a decade of systematic progress. In that body of work, his group and others developed the fundamental understanding and practical methods for proving the security of quantum-cryptographic schemes under realistic conditions, such as the presence of noise and imperfections. With these tools at hand, the team was able to obtain a precise bound of how much information might leak to any adversary. Intriguingly, once the leakage is below a certain threshold value, the bound can be made arbitrarily low through suitable post-processing. For the experiment now reported, it was therefore central to successfully proving that this threshold was indeed reached.

In the experiment, the ‘legitimate parties’ — the ions — were located in one and the same laboratory. But there is a clear route to extending the distance between them to kilometres and beyond. With that perspective, together with further recent progress made in related experiments in Germany and China, there is now a real prospect of turning the theoretical concept of Ekert into practical technology.

## Reference

Nadlinger DP, Drmota P, Nichol BC, Araneda G, Main D, Srinivas R, Lucas DM, Ballance CJ, Ivanov K, Tan EYZ., Sekatski P, Urbanke RL, Renner R, Sangouard N, Bancal JD: Experimental quantum key distribution certified by Bell's theorem. *Nature*, published online 27 July 2022 external pageDOI: 10.1038/s41586-022-04941-5 (2022). external pageFree-to-read version

## Further reading

Shalm K: Entanglement provides a key to improved security. *Nature* published online 27 July 2022 external pageDOI: 10.1038/d41586-022-01987-3 (2022).

(accompanying News & Views piece)