Quantum computers can model and solve several problems that have posed challenges for classical super computers, leveraging their natural quantum mechanical characteristics. A large-scale quantum computer is poised to significantly reduce security strength in cryptography. In this context, extensive research has been conducted on quantum cryptanalysis.In this paper, we present optimized quantum circuits for Korean block ciphers, HIGHT and LEA. Our quantum circuits for HIGHT and LEA demonstrate the lowest circuit depth compared to previous results. Specifically, we achieve depth reductions of 48% and 74% for HIGHT and LEA, respectively. We employ multiple novel techniques that effectively reduce the quantum circuit depth with a reasonable increase in qubit count. Based on our depth-optimized quantum circuits for HIGHT and LEA block ciphers, we estimate the lowest quantum attack complexity for Grover’s key search. Our quantum circuit can be utilized for other quantum algorithms, not only for Grover’s algorithm. Furthermore, the optimization methods gathered in this work can be adopted for generic quantum implementations in cryptography.Quantum computers can model and solve several problems that have posed challenges for classical super computers, leveraging their natural quantum mechanical characteristics. A large-scale quantum computer is poised to significantly reduce security strength in cryptography. In this context, extensive research has been conducted on quantum cryptanalysis.In this paper, we present optimized quantum circuits for Korean block ciphers, HIGHT and LEA. Our quantum circuits for HIGHT and LEA demonstrate the lowest circuit depth compared to previous results. Specifically, we achieve depth reductions of 48% and 74% for HIGHT and LEA, respectively. We employ multiple novel techniques that effectively reduce the quantum circuit depth with a reasonable increase in qubit count. Based on our depth-optimized quantum circuits for HIGHT and LEA block ciphers, we estimate the lowest quantum attack complexity for Grover’s key search. Our quantum circuit can be utilized for other quantum algorithms, not only for Grover’s algorithm. Furthermore, the optimization methods gathered in this work can be adopted for generic quantum implementations in cryptography.

Silicon Valley Cybersecurity Conference (SVCC)Jun 17, 20241 citation

RECENT PROGRESS ON MODELS OF HIGHLY DISORDERED SUPERCONDUCTORS

Nandini Trivedi, Amit Ghosal, Mohit Randeria

Recent Progress in Many-Body TheoriesSep 1, 20000 citations

Disorder effects on superconducting tendencies in the checkerboard Hubbard model

Peter M. Smith, Malcolm P. Kennett

The question of whether spatially inhomogeneous hopping in the two dimensional Hubbard model can lead to enhancement of superconductivity has been tackled by a number of authors in the context of the checkerboard Hubbard model (CHM). We address the effects of disorder on superconducting properties of the CHM by using exact diagonalization calculations for both potential and hopping disorder. We characterize the superconducting tendencies of the model by focusing on the pair-binding energy, the spin gap, and $d$ -wave pairing order parameter. We find that superconducting tendencies, particularly the pair-binding energy, are more robust to disorder when there is inhomogeneous hopping than for the uniform Hubbard model. We also study all possible staggered potentials for an eight-site CHM cluster and relate the behavior of these configurations to the disordered system.The question of whether spatially inhomogeneous hopping in the two dimensional Hubbard model can lead to enhancement of superconductivity has been tackled by a number of authors in the context of the checkerboard Hubbard model (CHM). We address the effects of disorder on superconducting properties of the CHM by using exact diagonalization calculations for both potential and hopping disorder. We characterize the superconducting tendencies of the model by focusing on the pair-binding energy, the spin gap, and $d$-wave pairing order parameter. We find that superconducting tendencies, particularly the pair-binding energy, are more robust to disorder when there is inhomogeneous hopping than for the uniform Hubbard model. We also study all possible staggered potentials for an eight-site CHM cluster and relate the behavior of these configurations to the disordered system.

arXiv:1307.5347Physical Review BDec 31, 20138 citations

Point Defect Disorder in Models of High Temperature Superconductivity

J. W. Halleý, C. Das Gupta, S. Davis +1 more

Recent Progress in Many-Body TheoriesJan 1, 19923 citations

Recent advances in the theory of superconductivity

J. R. Schrieffer

PhysicaDec 1, 19605 citations

Disorder effects in the BCS-BEC crossover region of the attractive Hubbard model

E. Z. Kuchinskii, N. A. Kuleeva, M. V. Sadovskii

We study the disorder effects upon superconducting transition temperature T c and the number of local pairs within the attractive Hubbard model in the combined Nozieres-Schmitt-Rink and DMFT + Σ approximations. We analyze the wide range of attractive interaction U, from the weak coupling region, where instability of the normal phase and superconductivity are well described by the BCS model, to the limit of strong coupling, where superconducting transition is determined by Bose-Einstein condensation of compact Cooper pairs, forming at temperatures much higher than superconducting transition temperature. It is shown that disorder can either suppress T c in the weak coupling limit, or significantly enhance T c in the case of strong coupling. However, in all cases we actually prove the validity of generalized Anderson theorem, so that all changes in T c are related to change in the effective bandwidth due to disorder. Similarly, disorder effects on the number of local pairs are only due to these band-broadening effects.We study the disorder effects upon superconducting transition temperature T c and the number of local pairs within the attractive Hubbard model in the combined Nozieres-Schmitt-Rink and DMFT + Σ approximations. We analyze the wide range of attractive interaction U, from the weak coupling region, where instability of the normal phase and superconductivity are well described by the BCS model, to the limit of strong coupling, where superconducting transition is determined by Bose-Einstein condensation of compact Cooper pairs, forming at temperatures much higher than superconducting transition temperature. It is shown that disorder can either suppress T c in the weak coupling limit, or significantly enhance T c in the case of strong coupling. However, in all cases we actually prove the validity of generalized Anderson theorem, so that all changes in T c are related to change in the effective bandwidth due to disorder. Similarly, disorder effects on the number of local pairs are only due to these band-broadening effects.

arXiv:1406.5603Journal of Experimental and Theoretical Physics LettersOct 1, 201410 citations

d

-wave pairing order parameter. We find that superconducting tendencies, particularly the pair-binding energy, are more robust to disorder when there is inhomogeneous hopping than for the uniform Hubbard model. We also study all possible staggered potentials for an eight-site CHM cluster and relate the behavior of these configurations to the disordered system.