#qudits

[newstodays1]

The Untapped Potential (and Critical Gaps) in Qudit Quantum Technology

While most quantum computing research focuses on qubits (binary 0/1 states), qudits (multilevel quantum systems with d > 2 states) promise exponential advantages—but face major roadblocks. Here’s where the field is falling short and what’s needed to unlock qudits’ full power. 1. Hardware Challenges: Building Qudits is Hard 🔧 Lack of Scalable Physical Platforms Most qudits today rely on trapped…

[govindhtech]

Hilbert Space & Qubits: finding the Power of Quantum States

Space Hilbert

Science Corrects Qudits' Quantum Errors for the First Time

Yale researchers made fault-tolerant quantum computing breakthroughs. The scientists demonstrated the first experimental quantum error correction (QEC) for higher-dimensional qudits, according to Nature. This is needed to overcome quantum information's error-prone and noisy fragility.

The Hilbert space dimension is fundamental to quantum computing. This dimension indicates how many quantum states a quantum computer may access. A larger Hilbert space is valued for its ability to support more complex quantum operations and quantum error correction. Traditional classical computers use bits that can only be 0 or 1. Most quantum computers use qubits. Qubits have up (1) and down (0) states like classical bits. Quantum superposition allows qubits to be in both states, which is important. Qubit Hilbert space is two-dimensional complex vector space.

The Yale study examines qudits, quantum systems that store quantum information and can exist in multiple states. Scientific interest in qudits over qubits is rising because to the assumption that “bigger is better” in Hilbert space. Qudits simplify complex quantum computer construction tasks. These include building quantum gates, running complex algorithms, creating “magic” states for quantum computers, and better simulating complex quantum systems than qubits. Researchers are studying qudit-based quantum computers using photons, ultracold atoms and molecules, and superconducting circuits.

Despite their theoretical merits, qubits have been the only focus of quantum error correction experiments, supporting real-world QEC demonstrations. The Yale paper deviates from this trend by providing the first experimental proof of error correction for two types of qudits: a three-level qutrit and a four-level ququart.

The researchers used the Gottesman Kitaev Preskill (GKP) bosonic code for this landmark demonstration. This code is suitable for encoding quantum information in continuous variables of bosonic systems like light or microwave photons due to its hardware efficiency. The researchers optimised the qutrit and ququart systems for ternary (3-level) and quaternary (4-level) quantum memory using reinforcement learning. This machine learning employs trial and error to determine the optimum methods for running quantum gates or fixing mistakes.

The experiment exceeded error correction's break-even. This is a turning moment in QEC, proving that error correction is reducing errors rather than introducing them. The researchers created a more realistic and hardware-efficient QEC approach by directly using qudits' higher Hilbert space dimension.

GKP qudit states may have a trade-off, researchers discovered. Logical qudits have higher photon loss and dephasing rates than other techniques, which may limit the longevity of quantum information in them. This potential drawback is outweighed by the benefit of having more logical quantum states in a single physical system.

These results are a huge step towards scalable and dependable quantum computers, as described in the Nature study “Quantum error correction of qudits beyond break-even”. Successful qudit QEC demonstration has great potential. This breakthrough could advance medicine, materials, and encryption.

[enetarch-quantum-physics]

Breakthrough quantum computer unlocks hidden world of elementary particles

[nel-world]

nehru jacket look for quditions

[jhavelikes]

Efficient scaling and flexible control are key aspects of useful quantum computing hardware. Spins in semiconductors combine quantum information processing with electrons, holes or nuclei, control with electric or magnetic fields, and scalable coupling via exchange or dipole interaction. However, accessing large Hilbert space dimensions has remained challenging, due to the short-distance nature of the interactions. Here, we present an atom-based semiconductor platform where a 16-dimensional Hilbert space is built by the combined electron-nuclear states of a single antimony donor in silicon. We demonstrate the ability to navigate this large Hilbert space using both electric and magnetic fields, with gate fidelity exceeding 99.8% on the nuclear spin, and unveil fine details of the system Hamiltonian and its susceptibility to control and noise fields. These results establish high-spin donors as a rich platform for practical quantum information and to explore quantum foundations.

Navigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields | Nature Communications

[shahananasrin-blog]

[ad_1] The ScienceNewswise — Classical computer bits categorize data only as ones or zeroes. In contrast, quantum bits, or qubits, can hold values of one, zero, or both simultaneously. Lesser-known cousins of qubits called qudits have several advantages. They can carry more information and are more resistant to the noise that can cause qubits to lose information. However, qudits have historically been difficult for scientists to measure and modify. To address this issue, researchers developed a method of measuring qudits encoded in light sources with more precision than was previously possible.The ImpactHarnessing the power of qudits would improve the performance of multiple quantum technologies. These include quantum networks, which use photons, or particles of light, to share information across vast distances. Another technology is quantum key distribution systems, which transmit data using digital “locks” and “keys” derived from quantum mechanics. Eventually, qudits could play an important role in the creation of a possible quantum internet  that could distribute quantum information on a large scale.SummaryThe experiment by a team of researchers from Oak Ridge National Laboratory (ORNL), Purdue University, King Saud University, the Swiss Federal Institute of Technology, and Torch Technologies began by shining a laser into a device called a microring resonator to generate frequency-bin pairs. These are two qudits in the form of photons that are entangled in their frequencies. Entanglement refers to a pair of particles that remain intrinsically connected regardless of the physical distance between them. Instead of relying on a quantum gate, a type of quantum circuit often used in quantum computing research, the researchers used an electro-optic phase modulator, which mixes various light frequencies, and a pulse shaper, which can modify the timing of those frequencies. By performing these operations randomly, they captured a significant number of different frequency correlations.The researchers then developed a data analysis tool based on a statistical method called Bayesian inference and ran simulations on ORNL computing resources to work backward and infer which quantum states produced the measured frequency correlations. The team is already preparing for future experiments by fine-tuning their measurement method. In conjunction with existing fiber-optic networks, this technique could facilitate comprehensive tests of teleportation (a method of transferring quantum information), as well as entanglement swapping, which involves intentionally entangling two previously unrelated particles. FundingThis research was supported by the Department of Energy Office of Science, Advanced Scientific Computing Research program and Early Career Research program; the National Science Foundation; the Air Force Office of Scientific Research; and the Swiss National Science Foundation. window.fbAsyncInit = function () FB.init( appId: '890013651056181', xfbml: true, version: 'v2.2' ); ; (function (d, s, id) var js, fjs = d.getElementsByTagName(s)[0]; if (d.getElementById(id)) return; js = d.createElement(s); js.id = id; js.src = " fjs.parentNode.insertBefore(js, fjs); (document, 'script', 'facebook-jssdk')); [ad_2]

[picnotesknowledge]

Forget qubits - scientists just built a quantum gate with qudits which could help usher in the era of the quantum computer: http://bit.ly/QuantumGate_Qudits

[theshapeofhershadow]

ke mu qudit prej asaj qe se ke prit.

[scitechman]

Researchers Build Transistor-like Gate For Quantum Information Processing – With Qudits

Researchers Build Transistor-like Gate For Quantum Information Processing – With Qudits

Quantum information processing promises to be much faster and more secure than what today’s supercomputers can achieve, but doesn’t exist yet because its building blocks, qubits, are notoriously unstable.

Purdue University researchers are among the first to build a gate – what could be a quantum version of a transistor, used in today’s computers for processing information – with qudits.…

[govindhtech]

qLDPC Library:Quantum Error-Correcting Code Research

Library qLDPC

Infleqtion researchers and JPMorgan Chase introduced a new open-source research software library today to speed up quantum application efficiency efforts. The Economist Commercialising Quantum conference in London on May 13–14 will provide more details on the news.

In conjunction with JPMorgan Chase, Infleqtion researchers created the open-source qLDPC library. Available on GitHub.

The main reason for this package was to help build and analyse quantum low density parity check (qLDPC) codes. However, the library tools also work for general error-correcting stabiliser and subsystem codes.

Reducing the number of physical qubits needed for quantum error correcting is one of the qLDPC library's biggest benefits. This library reduces fault-tolerant quantum computing hardware requirements by 10–100x. A single logical, error-corrected qubit used to need 1,500 physical qubits to work reliably. This new library may lower the requirement to 15–150 physical qubits per logical qubit, depending on implementation. This breakthrough fixes a scaling quantum system bottleneck.

The qLDPC library tools suit Infleqtion's neutral atom-based quantum computing technology. Infleqtion's hardware enables for extremely customisable qubit layouts, enabling the library's more efficient error-correcting codes.

The open-source library qLDPC is meant for collaboration. Developers, academics, and hardware partners can directly interact with the codebase to find new error correction and quantum workload optimisation approaches across platforms.

Important qLDPC library features include:

ClassicalCode: A class for classical linear error-correcting codes over finite fields, featuring pre-defined families and GAP/GUAVA package communication for more codes.

A class for creating stabiliser and subsystem Galois-qudit codes. Get_logical_ops, concatenate, and get_distance perform nontrivial logical Pauli operator construction, code concatenation, and code distance computation, respectively.

CSSCode: QuditCode subclass for building quantum CSS codes from two suitable ClassicalCodes. It uses research paper approaches to estimate code distance upper bounds in get_distance_bound.

Special quantum code constructs and family classes:

Two-block quantum codes.

BBCode, bivariate bicycle codes, including toric layout identification (like long-distance checks) and neutral atom qubit layouts that minimise communication distance. Several arXiv papers mention these constructs.

Product hypergraph codes.

Product codes for subsystem hypergraphs.

Subsystem hypergraph product codes simplex.

Lifted product codes.

Quantum Tanner codes.

decoders.py: BP-OSD, BP-LSD, belief-field, minimum-weight perfect matching, and additional error decoding modules.An interface for custom decoders is included.

Abstract algebra (groups, algebras, representations) module in Python. It communicates with GAP and GroupNames.org and uses SymPy pre-defined groups.

objects.py: A package for building quantum code auxiliary objects like Cayley and chain complexes.

qldpc.circuits.get_transversal_ops: A qubit code subroutine that constructs all SWAP-transversal logical Clifford gates in one code block, but it has exponential complexity and is more suitable for small-to-moderate codes.

Package requires Python >= 3.10 and can be installed via PyPI or source. C compilers for Windows and cvxpy for macOS may be required.

The project wants detailed documentation, however the current material is outdated. For help using the library's classes and methods, consult the source code, comments, examples directory, and test files.

[sciencecover-blog]

The researcher built transistor inputs for quantum information processing

The researcher built transistor inputs for quantum information processing

Specialists were the first to construct an entryway that could be a quantum variant of a transistor utilized in figuring PCs helped by the present PCs with Qudits.

(more…)

[gmsciencein]

#Qudits: The Face of #Quantum #Computing Keeping the fast pace of development in the world of quantum computation, scientists could include another abbreviation to this field, which is named as Qudits. Qudits define the new future of quantum computing which is quite different than Qubits. The community could develop a microchip that can generate qudits, each assuming 10 or more states which is different from a qubit. Qubits operate on the two states, 0 and 1. Qudits are the high dimensional states i.e. D- level quantum states with D>2 (where D=2 represent qubits). These are formed from the #entanglement of #photons. “We have now achieved the compact and easy generation of high-dimensional quantum states,” says the co-lead author Michael Kues, a quantum optics researcher at Canada’s National Institute of Scientific #Research, its French acronym, in Varennes, #Quebec. https://gmsciencein.com/2017/12/06/qudits-quantum-computing/

[futuristech-info]

Researchers build transistor-like gate for quantum information processing – with qudits

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[amalelrhazi]

Dans le calcul quantique, l'heure n'est plus aux qubits mais aux qudits !

Amal El Rhazi, Dans le calcul quantique, l'heure n'est plus aux qubits mais aux qudits !. Les qudits sont une alternative plus performante aux qubits, ces unités logiques du calculateur quantique. Avec trois états superposables, ils permettent de traiter plus d’informations avec autant de particules.   Le calculateur quantique promet une puissance de calcul extraordinaire. Mais les éléments qui le composent, les qubits, sont très instables, […] Lire l'article