New method for optimizing quantum algorithms using chaos theory

Randomized Quantum Linear Systems Solvers Offer Potential for Shallow Circuits, Estimating Matrix Inverses Researchers demonstrate that a promising new method for solving complex equations, which uses random sampling to simplify calculations, ultimately requires so many calculations that it may not be practical for real-world applications despite its theoretical advantages in reducing computational steps. #quantum #quantumcomputing #technology https://lnkd.in/eb4fP4tk

Quantum Graph States Demonstrate Efficient Fidelity Estimation Via Statistical Mechanics, Enabling Analysis of Noise Robustness in Large Systems Researchers demonstrate that the reliability of complex quantum states, essential for future computation, depends on their structure and arrangement in space, revealing a critical threshold determined by how densely connected the quantum bits are and the number of dimensions involved. #quantum #quantumcomputing #technology https://lnkd.in/eDHsyQCu

Quantum Approximate Optimization Efficiently Solves Bosonic Finite-state Systems Via Hamiltonian-based Mixing Researchers have developed a new method for translating complex problems into a format suitable for quantum computers, ensuring solutions remain within realistic computational boundaries and achieving optimal efficiency when using a specific encoding technique for simulating physical systems like the Bose-Hubbard model #quantum #quantumcomputing #technology https://lnkd.in/eSDUVTjC

Measurement-based Quantum Computation: Circle Graph States Are Not Universal Resources, Despite Expressivity Researchers demonstrate that despite their complexity, circle graph states are not suitable as a universal resource for a promising new type of computation called measurement-based quantum computation, establishing a crucial limitation for this approach and revealing a connection to the behaviour of fermionic Gaussian states. #quantum #quantumcomputing #technology https://lnkd.in/emSBkckw

Sampled-based Guided Quantum Walk Solves Binary Combinatorial Optimization Problems Without Classical Optimization Researchers have developed a new quantum algorithm, SamBa-GQW, that efficiently finds approximate solutions to complex optimisation problems by using a guided quantum walk informed by pre-calculated problem characteristics, achieving strong performance on problems with up to several variables without relying on traditional classical optimisation techniques #quantum #quantumcomputing #technology https://lnkd.in/eTUbk_9R

Excited-cafqa Initialization Improves Variational Quantum Deflation for Molecular Excited State Computation Researchers enhance the accuracy of quantum computing calculations for molecular systems by developing a method that intelligently prepares initial conditions, achieving up to 99% precision in determining both ground and excited state energies for simple molecules. #quantum #quantumcomputing #technology https://lnkd.in/eHbUby4J

𝑾𝒊𝒈𝒏𝒆𝒓’𝒔 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝑫𝒆𝒄𝒐𝒅𝒆𝒅 | 𝑸𝒖𝒂𝒏𝒕𝒖𝒎 𝑨𝒏𝒅𝒉𝒓𝒂 𝑺𝒆𝒓𝒊𝒆𝒔 ✨ 𝐈𝐦𝐚𝐠𝐢𝐧𝐞 𝐬𝐞𝐞𝐢𝐧𝐠 𝐛𝐨𝐭𝐡 𝐭𝐡𝐞 𝐩𝐨𝐬𝐢𝐭𝐢𝐨𝐧 𝐚𝐧𝐝 𝐦𝐨𝐭𝐢𝐨𝐧 𝐨𝐟 𝐚 𝐩𝐚𝐫𝐭𝐢𝐜𝐥𝐞 — 𝐛𝐮𝐭 𝐨𝐧𝐥𝐲 𝐭𝐡𝐫𝐨𝐮𝐠𝐡 𝐚 𝐪𝐮𝐚𝐧𝐭𝐮𝐦 𝐥𝐞𝐧𝐬. That’s exactly what the 𝐖𝐢𝐠𝐧𝐞𝐫 𝐅𝐮𝐧𝐜𝐭𝐢𝐨𝐧 allows scientists to do — it maps the invisible quantum world into a visual, calculable form. In 𝐪𝐮𝐚𝐧𝐭𝐮𝐦 𝐦𝐞𝐜𝐡𝐚𝐧𝐢𝐜𝐬, the Wigner function represents a quantum state in 𝐩𝐡𝐚𝐬𝐞 𝐬𝐩𝐚𝐜𝐞, a framework combining position and momentum. Unlike classical probability, it can take 𝐧𝐞𝐠𝐚𝐭𝐢𝐯𝐞 𝐯𝐚𝐥𝐮𝐞𝐬 — a clear signature that the system behaves in a 𝐧𝐨𝐧-𝐜𝐥𝐚𝐬𝐬𝐢𝐜𝐚𝐥 way. 💡 𝐀𝐩𝐩𝐥𝐢𝐜𝐚𝐭𝐢𝐨𝐧 𝐭𝐨 𝐎𝐛𝐬𝐞𝐫𝐯𝐚𝐛𝐥𝐞𝐬: Every measurable quantity (like energy, position, spin) in quantum physics — called an 𝐨𝐛𝐬𝐞𝐫𝐯𝐚𝐛𝐥𝐞 — is linked to a 𝐇𝐞𝐫𝐦𝐢𝐭𝐢𝐚𝐧 𝐨𝐩𝐞𝐫𝐚𝐭𝐨𝐫. The Wigner function connects these observables to their 𝐩𝐡𝐚𝐬𝐞-𝐬𝐩𝐚𝐜𝐞 𝐫𝐞𝐩𝐫𝐞𝐬𝐞𝐧𝐭𝐚𝐭𝐢𝐨𝐧, letting us compute 𝐞𝐱𝐩𝐞𝐜𝐭𝐚𝐭𝐢𝐨𝐧 𝐯𝐚𝐥𝐮𝐞𝐬 directly. For instance: ➡️ Integrating over momentum → gives position probability ➡️ Integrating over position → gives momentum probability Now here’s the 𝐪𝐮𝐚𝐧𝐭𝐮𝐦 𝐜𝐨𝐦𝐩𝐮𝐭𝐢𝐧𝐠 𝐜𝐨𝐧𝐧𝐞𝐜𝐭𝐢𝐨𝐧 : The Wigner function is widely used in 𝐪𝐮𝐚𝐧𝐭𝐮𝐦 𝐜𝐨𝐦𝐩𝐮𝐭𝐢𝐧𝐠 to understand, simulate, and even debug quantum systems. 🧩 It provides a 𝐯𝐢𝐬𝐮𝐚𝐥 𝐦𝐚𝐩 𝐨𝐟 𝐪𝐮𝐛𝐢𝐭 𝐬𝐭𝐚𝐭𝐞𝐬 — helping researchers see how superposition and entanglement evolve during computation. ⚙️ In 𝐪𝐮𝐚𝐧𝐭𝐮𝐦 𝐞𝐫𝐫𝐨𝐫 𝐜𝐨𝐫𝐫𝐞𝐜𝐭𝐢𝐨𝐧, it helps track how noise distorts these states in phase space. And in 𝐜𝐨𝐧𝐭𝐢𝐧𝐮𝐨𝐮𝐬-𝐯𝐚𝐫𝐢𝐚𝐛𝐥𝐞 𝐪𝐮𝐚𝐧𝐭𝐮𝐦 𝐜𝐨𝐦𝐩𝐮𝐭𝐢𝐧𝐠, Wigner functions describe states of light fields used as qubits — enabling more efficient optical quantum computers. In simple terms, the Wigner function acts as a 𝐪𝐮𝐚𝐧𝐭𝐮𝐦 𝐦𝐢𝐫𝐫𝐨𝐫 — showing how quantum information moves, interacts, and transforms across computation. It bridges classical understanding and quantum logic, giving researchers a clearer way to visualize and control complex quantum algorithms that power the next generation of computing. 𝐖𝐢𝐠𝐧𝐞𝐫’𝐬 𝐅𝐮𝐧𝐜𝐭𝐢𝐨𝐧 = 𝐐𝐮𝐚𝐧𝐭𝐮𝐦 𝐈𝐧𝐬𝐢𝐠𝐡𝐭 + 𝐕𝐢𝐬𝐮𝐚𝐥 𝐂𝐨𝐦𝐩𝐫𝐞𝐡𝐞𝐧𝐬𝐢𝐨𝐧. #QuantumAndhra #QuantumComputing #QuantumMechanics #WignerFunction #QuantumInformation #Physics #QuantumVisualization #DeepTech #QuantumOptics #QuantumAlgorithms

Quantum Complexity from Glassiness Obstructs Stable Algorithms for Gibbs Sampling in Random 3-Local Hamiltonians Researchers demonstrate that certain computational algorithms struggle with complex problems because the inherent disorder within those problems creates barriers to efficient solutions, even when starting from a random point. #quantum #quantumcomputing #technology https://lnkd.in/eTYUh_Xt

Martingale Projections Demonstrate Quantum Decoherence and Density Matrix Evolution in Open Systems Researchers demonstrate that mathematical projections, mirroring the behaviour of martingales, directly link interactions between open systems and their environments to both the loss of quantum information, known as decoherence, and an increase in information capacity. #quantum #quantumcomputing #technology https://lnkd.in/eN2Y5bxU

Experimental Verification Demonstrates Genuine Multipartite Entanglement Activation from Two Copies of Biseparable States Scientists demonstrate that complex quantum correlations, previously thought impossible to create from simple building blocks, can emerge when combining multiple copies of less complex quantum states, opening new avenues for advanced quantum technologies. #quantum #quantumcomputing #technology https://lnkd.in/e6r7BmUx