Navigating a High-Dimensional Treasure Map to Uncover Quantum Gold


Hologram encoding a quvigint (left), such as that photographed during the experiment (right). Credit: Markus Rambach

Researchers have struck quantum gold—and created a new word—by enlisting machine learning to efficiently navigate a 20-dimensional quantum treasure map.

Physicist Dr. Markus Rambach from the ARC Centre of Excellence for Engineered Quantum Systems (EQUS) at The University of Queensland said the team was able to find unknown quantum states more quickly and accurately, using a technique called self-guided tomography.

The team also introduced the ‘quvigint’, which is like a qubit (the quantum version of a classical bit that takes on the values ‘0’ or ‘1’) except that it takes on not two, but 20 possible values.

Dr. Rambach said high-dimensional quantum states such as quvigints were ideal for storing and sending large amounts of information securely. However, finding unknown states becomes increasingly difficult in higher dimensions, because the same scaling that gives quantum devices their power also limits our ability to describe them.

He said this problem was akin to navigating a high-dimensional quantum treasure map.

“We know where we are, and that there’s treasure, but we don’t know which way to go to get to it,” Dr. Rambach said. “Using standard tomography, this problem would be solved by first determining which directions you need to look in to ensure you cover the whole map, then collecting and storing all the relevant data, and finally processing the data to find the treasure.

“Instead, using self-guided tomography, we pick two directions at random, try them both, pick the one that gets us closer to the treasure based on clues from the machine learning algorithm, and then repeat this until we reach it.

“This technique saves a huge amount of time and energy, meaning we can find the treasure—the unknown quvigint—much more quickly and easily.”

Navigating a High Dimensional Quantum Treasure Map

Navigating a high-dimensional quantum treasure map, starting from the green point and ending at the red point (the treasure!) Credit: American Physical Society

To illustrate the technique, the team simulated a quvigint traveling through the atmosphere, as it would when being used to send quantum information between two points on Earth or to a satellite.

As the quvigint travels, it is modified by atmospheric turbulence.

Standard tomography is very susceptible to this type of noise, but by using self-guided tomography the team was able to reconstruct the original quvigint with high accuracy.

Dr. Jacqui Romero, also at EQUS and UQ, said self-guided tomography was unlike other methods for finding unknown quantum states.

“Self-guided tomography is efficient, accurate, robust to noise and readily scalable to high dimensions, such as quvigints,” Dr. Romero said. “Self-guided tomography is a robust tomography method that is agnostic to the physical system, so it can be applied to other systems such as atoms or ions as well.”

The results are published in Physical Review Letters.

Reference: “Robust and Efficient High-Dimensional Quantum State Tomography” by Markus Rambach, Mahdi Qaryan, Michael Kewming, Christopher Ferrie, Andrew G. White and Jacquiline Romero, 10 March 2021, Physical Review Letters.
DOI: 10.1103/PhysRevLett.126.100402

Be the first to comment on "Navigating a High-Dimensional Treasure Map to Uncover Quantum Gold"

Leave a comment

Email address is optional. If provided, your email will not be published or shared.