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YSM Issue 96.2

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COUNTERPOINT<br />

QUANTUM<br />

BY MATTHEW DOBRE<br />

CRYPTOGRAPHY<br />

Encrypting data in holograms composed of corkscrews of light<br />

In 1933, Nobel Prize-winning chemist Sir William<br />

Bragg said, “Light brings us the news of the<br />

Universe.” Though it would take decades before<br />

scientists better understood the properties of light,<br />

researchers today are devising ways to utilize this<br />

resource to store information by uniting information<br />

theory and quantum mechanics, a subfield of physics<br />

that governs the behavior of photons, or light particles.<br />

Among the general public, anything that includes the<br />

word “quantum” elicits a degree of awe. Even Einstein<br />

was troubled by one of the theoretical implications of<br />

quantum mechanics, which he called “spooky action<br />

at a distance.” Today, Einstein’s boogeyman is called<br />

entanglement. When two particles are entangled, their<br />

quantum states, which may include properties like<br />

geometric orientation, angular momentum, and energy,<br />

are inextricably linked. A change in the state of one<br />

particle will immediately affect its twin. For example,<br />

consider a pair of entangled mittens: one is given to a<br />

lab assistant named Bob, and the other to his partner,<br />

Alice. No attempt is made to observe either mitten. Bob<br />

is then sent to a neighboring solar system. Up to this<br />

point, nobody in the universe knows the handedness of<br />

either Alice’s or Bob’s mittens. In fact, by the postulates<br />

of quantum mechanics, their handedness will be<br />

indeterminate until they are observed. If this experiment<br />

was repeated many times, it would reveal that when<br />

Alice observes her mitten, she will have a right-handed<br />

mitten half the time, and a left-handed mitten the other<br />

half. Eerily, Bob’s mitten will instantaneously acquire<br />

the opposite handedness, even though he’s two million<br />

light years away from Alice.<br />

These same principles of entanglement have been<br />

used to send data over thin air. In 2015, a research<br />

team in Vienna transmitted information by changing<br />

the relative angular momentum, or “twistiness,” of<br />

entangled pairs of photons. In quantum mechanics,<br />

angular momentum can only take on certain values<br />

called discrete quantities, separated by a constant ‘step<br />

size’. These entangled particles stored information by<br />

acting analogously to computer bits, which can only<br />

have a value of zero or one. In the experiment, each twist<br />

served as an alternative channel of communication,<br />

enabling ultra-high-speed data transmission.<br />

A group of physicists from the Beijing Institute of<br />

Technology (BIT) recently expanded on this research<br />

to create an unprecedented storage system. Instead of<br />

transmitting information via distinct light channels,<br />

they stored several unique data sets at a time by creating<br />

holograms made of entangled photon pairs. Though<br />

holograms seem to be a quintessential element of<br />

science fiction, they already have applications in<br />

everyday life. Used as a security feature in credit<br />

cards, passports, and banknotes, holograms are stacks<br />

of slightly misaligned images that are difficult for a<br />

computer to read. The physicists generated holograms<br />

made of twisted, entangled photon pairs by using<br />

β-barium borate crystals to manipulate the relative<br />

angular momentum between the particles, creating<br />

corkscrew patterns of light that resemble rotini pasta.<br />

To prove their setup worked, the researchers encoded<br />

words in the holograms and used twisted light to<br />

reconstruct the data by measuring the coincidence<br />

between the particles’ angular momentums.<br />

By increasing the number and diversity of twists<br />

in a single hologram, the system securely encrypted<br />

information since the odds of guessing the degree and<br />

direction of the twisted light’s path became very low. For<br />

instance, seven distinct twists, which is a relatively small<br />

system, led to millions of potential combinations.<br />

Many quantum technologies are sensitive to noise.<br />

However, the researchers asserted that entanglement<br />

can diminish the effect of classical noise sources, which<br />

include mechanical vibrations and thermal fluctuations.<br />

Thus, the decrypted output was of a higher quality<br />

compared to other similar systems.<br />

This technology, however, is still in its infancy.<br />

Utilizing six forms of entangled light, the group was<br />

able to decode an image of the acronym “BIT” by<br />

measuring the orbital angular momentum states of the<br />

particles over the course of twenty minutes, which is far<br />

from practical. Fortunately, the group is optimistic that<br />

these difficulties can be overcome with improvements<br />

in quantum technology. Though holographic data<br />

storage is still in a nascent stage, today’s scientists<br />

are utilizing techniques that the founders of modern<br />

physics laid the groundwork for—but may not have<br />

even understood. ■<br />

38 Yale Scientific Magazine May 2023 www.yalescientific.org

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