🔍 New research: The Hidden Subgroup Problem for Infinite Groups.💥 HSP proven NP-hard for rationals & non-abelian free groups.🔗 Links Short Vector Problem to HSP in Z^k.⚡ New algorithm for abelian hidden shift problems.📄 Read more 👉 #QubitScript

🔧 New method for replacing lost atoms during quantum computation on neutral atom quantum computers!.Enables mid-circuit measurement and heralded state preparation, maintaining coherence for longer computations. Read more: #QubitScript #QuantumComputing

🚀 Neutral atom-based fault-tolerant quantum computing:.Surface codes, transversal teleportation, and mid-circuit qubit reuse for high-fidelity operations. Achieved faster cycle rates and logarithmic overhead. Read more: #QubitScript #QuantumComputing

⚡ Magic-Augmented Clifford Circuits: A resource-efficient approach for generating approximate k-designs. Shallow circuits with reduced magic gate usage, improved depth, and bound error. Read more: #QubitScript #QuantumComputing #MagicGates

🎓 Learn Quantum Computing with John Watrous!.16 lessons on quantum information, Shor’s & Grover’s algorithms, and quantum error correction. Perfect for anyone diving into the theory of quantum computing!. #QubitScript #QuantumComputing #QuantumAlgorithms #QuantumInformation

😈 QC-Daemon: A reinforcement learning agent for quantum circuit compilation, optimizing layouts on neutral atom arrays. Reduces infidelity for up to 100 qubits and generalizes across unseen circuits. 🔗 Read more: #QubitScript #QuantumComputing

🚀 Major breakthrough: Certifying any quantum state with just O(n²) single-qubit measurements!.This resolves a key open question in quantum information science. 🔗 Read more: #QubitScript #QuantumComputing #QuantumStateCertification #QuantumAlgorithms

🔑 New fault-tolerant protocol for concatenated codes with tensor network decoder!.Achieves state preparation thresholds and demonstrates fault tolerance on ion-trap hardware. 📋Find paper here: #QubitScript #QuantumComputing #FaultTolerance

🔍 Short-depth quantum circuits beyond the unitary group show linear depth bounds and logarithmic randomness in shallow designs. Check out how Clifford and orthogonal group circuits fare at shallow depths. Read more: #QubitScript #QuantumComputing

💡 Catalytic Z-Rotations in Constant T-Depth for Quantum Circuits.Single-qubit z-rotations can be made constant (T-depth = 3) with a catalyst state. ⚛️Approximate complex multi-qubit gates like Toffoli and QFT efficiently. Read more: #QubitScript

🚀 Pauli propagation: a new way to simulate quantum systems!.The Julia package PauliPropagation.jl enables fast and efficient simulations of quantum circuits, allowing for the real-time evolution of Pauli strings. 🌐Check it out: #QubitScript

🌐 Orbit dimensions reveal the structural limits of quantum states in linear & Gaussian optics!.New method to study unitary transformations and non-Gaussianity witnesses. Read more: #QubitScript #QuantumOptics #QuantumStates #QuantumComputing

🎯 High-fidelity logical non-Clifford gate achieved with only 8 physical qubits!. Magic state preparation and controlled-Hadamard gate outperform unencoded gates on a 20-qubit trapped-ion processor. Read more: #QubitScript #QuantumComputing #MagicStates

🔑 Maximal randomness in noisy quantum measurements:.How noise in measurements affects intrinsic randomness and the eavesdropper's guessing power. 📝More here: #QubitScript #QuantumComputing #QuantumCryptography #QuantumSecurity #QuantumRandomness

⚡ New fast & stable inverse nonlinear FFT on SU(2) for quantum signal processing!.Speeds up phase factor calculations in QSP & QSVT with near-linear complexity. Read more: #QubitScript #QuantumComputing #QuantumSignalProcessing #NLFT

⚡ Unfolded distillation reduces magic state distillation costs for biased-noise qubits:.Achieves 3 × 10−7 logical error with 53 qubits and 5.5 rounds of error correction. Read more: #QubitScript #QuantumComputing #MagicStateDistillation

⚡ New QEC scheme using hierarchical codes:.HGP codes on top, rotated surface codes on bottom, and BP-OS decoding for error suppression! Outperforms surface codes for physical error rates ≤ 10^-2. Read more: #QubitScript #QuantumComputing

🌐 Dissipation = Quantum Advantage ?. Dissipative protocols now help prepare ground, thermal, and even excited states, with real performance guarantees! This is a step toward practical quantum advantage. 🔗Read more: #QubitScript #QuantumComputing

⚡ How costly are random quantum circuits? Very — you need a quadratic amount of non-Clifford gates to mimic true randomness!. Mostly easy Clifford gates (blue), but those teal gates pack a punch. See the full picture: #QubitScript #QuantumComputing

🚀 Quantum simulation just got smarter!. A new paper introduces SOS spectral amplification, cutting query complexity & offering adaptive methods w/o knowing energy gaps. Big gains shown on the SYK model!. 🔗 Read more: #QubitScript #HamiltonianSimulation