Quantum computers are expected to break today’s public key cryptography within a few decades. New cryptosystems are being designed and standardized for the post-quantum era, and a significant proportion of these rely on the hardness of problems like the Shortest Vector Problem to a quantum adversary. In this paper, we describe two variants of a quantum Ising algorithm to solve this problem. One variant is spatially efficient, requiring only O(N log N) qubits where N is the lattice dimension, while the other variant is more robust to noise. Analysis of the algorithms’ performance on a quantum annealer and in numerical simulations show that the more qubit-efficient variant will outperform in the long run, while the other variant is more suitable for near-term implementation.
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Observation of Macroscopic Landau-Zener Tunneling in a Superconducting Device
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Wigner Distribution Function Formalism for Superconductors and Collisionless Dynamics of the Superconducting Order Parameter
Publication
Dephasing-Insensitive Quantum Information Storage and Processing with Superconducting Qubits
Publication
Non-Equilibrium Quasiclassical Theory for Josephson Structures
Publication
Josephson-Phase Qubit without Tunneling
Publication
Dynamical Effects of an Unconventional Current-Phase Relation in YBCO dc SQUIDs
Publication
Anomalous Current-Phase Relation as Basis for HTS Qubit
Publication
Nonequilibrium Quasiclassical Theory for Josephson Structures
Publication
Quasiclassical Calculations of Spontaneous Current in Restricted Geometries
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Continuous Monitoring of Rabi Oscillations in a Josephson Flux Qubit
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Theory of Weak Continuous Measurements in a Strongly Driven Quantum Bit
Publication
Tunable Coupling of Superconducting Qubits
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Dynamical Effects of an Unconventional Current-Phase Relation in YBCO dc-SQUIDs
Publication
Low-Frequency Characterization of Quantum Tunneling in Flux Qubits
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Multi-Terminal Superconducting Phase Qubit
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High Temperature PI/2-SQUID
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Time Reversal Breaking States and Spontaneous Current Pattern in Josephson Junctions of D-Wave Superconductors
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Quasiclassical Theory of Spontaneous Currents at Surfaces and Interfaces of D-Wave Superconductors
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d+is Versus d+id Time Reversal Symmetry Breaking States in Finite Size Systems
Publication
DC-SQUID Based on the Mesoscopic Multi-Terminal Josephson Junction
Publication
Mesoscopic Multi-Terminal Josephson Structures. I. Effects of Nonlocal Weak Coupling
Publication
Degenerate Ground State in a Mesoscopic YBa2CuO Grain Boundary Josephson Junction
Publication