Neutrinoless Double Beta Decay
The first real-time quantum simulation of Neutrinoless Double Beta Decay (0νββ) decay has been carried out by an international team of researchers, which is a significant accomplishment for both nuclear physics and quantum information. A first for dynamical quantum simulations, the study marks the first observation of lepton-number violation, a process prohibited by the Standard Model of particle physics.
The collaboration, which includes Caltech, IonQ Inc., the Los Alamos National Laboratory, and the InQubator for Quantum Simulation (IQuS) at the University of Washington, used the IonQ Forte-generation trapped-ion quantum computers to investigate the subatomic core of nuclear matter.
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The Unsolved Antimatter Mysteries
This study investigates why the universe has more matter than antimatter. According to the Sakharov criterion, this imbalance requires violating baryon and lepton number symmetries.
Although these quantities are typically treated as fixed in the Standard Model, the hypothetical neutrinoless double beta decay provides a doorway to new physics. Two neutrons would simultaneously change into two protons and two electrons in this unusual decay, notably without releasing the two neutrinos that are usually produced in conventional double-beta decay. The neutrino must be its own antiparticle, a Majorana fermion, in order for this to happen, hence enabling it to “annihilate” itself in the process. It would be clear from this observation that the lepton number is not preserved, which could help to explain the matter-antimatter asymmetry that gave rise to our universe.
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Utilizing the “Yocto-second” Scale Simulation
Nuclear processes occur on timescales so short that they are difficult to comprehend. Imaging dynamics at the yocto-second scale (10−24 seconds), which is a fraction of the time it takes for information to travel through a single proton, was the goal of the study. To do this, the group “co-designed” their simulation, projecting the intricate relationships between quarks, electrons, and neutrinos onto 32 qubits of IonQ’s Forte Enterprise system.
The particles were distributed across two spatial lattice sites in a 1+1D Quantum Chromodynamics (QCD) model. This environment was then developed in “real time” with a neutrino Majorana mass term and a Hamiltonian that contained both strong and weak interactions. By adjusting these settings, the researchers created an energy environment in which 0νββ decay could take place, even though such processes are infamously challenging to monitor with traditional computers because all potential reaction routes must be coherently summed.
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Accuracy and Error Reduction in Technology
The experiment was successful because trapped-ion quantum processing units (QPUs) have a special architecture. IonQ’s Forte devices, in contrast to many other quantum systems, provide all-to-all connections, enabling direct communication between any qubit and any other. As the Jordan-Wigner transformation translates the physics of fermions (matter particles) onto the spin operators that the quantum computer uses, this characteristic was crucial to its implementation.
Today’s “NISQ” (noisy intermediate-scale quantum) devices are inherently noisy; the team used advanced error mitigation and detection techniques to recover a clean signal from that noise. To identify “leakage” errors, situations in which a qubit’s state deviates from the computational subspace, they employed four more “flag” qubits as ancillae.
A new parametrized non-linear filtering technique was also presented. They identified and filtered out bit strings that were probably the result of hardware bias rather than physical reality by running 96 distinct “twirled” versions of the identical circuit, each with a different qubit-to-ion assignment. A 10σ signal indicating the formation of lepton-number violation was established by the resulting data, a statistical certainty that much surpasses the conventional threshold for scientific discovery.
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An Approach to New Physics
Despite being run in a simplified 1+1 dimensional realm, the simulation has far-reaching effects. By running deeper circuits with up to 2,356 two-qubit gates, the team further stretched the hardware’s capabilities and set a standard for the upcoming generation of quantum simulators.The researchers emphasized that quantum computers are particularly well-suited for monitoring the coherent growth of excited states in a nucleus, noting that this work represents the first time that real-time simulations of this process have been carried out. In subsequent rounds, these simulations will be extended into 2+1 dimensions, bringing them closer to the physical realities of the atoms utilized in large-scale subterranean experimental searches such as KamLAND-Zen and LEGEND.
As quantum simulations offer yocto-second resolution of reaction pathways, physicists may soon be able to pinpoint the primary mechanisms underlying these uncommon decays. In the end, this “pathfinding” expedition has not only shown the usefulness of existing quantum technology, but it has also opened a fresh window into the fundamental symmetries of nature and the beginnings of our matter-filled world.
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