Quantum spin dynamics

Abstract:

Worker wages represent a critical dimension of labor rights, encompassing all forms of remuneration arising from employment contracts. Given the inherent power imbalance between employers and employees, there exists an ongoing concern that employers, driven by the desire to minimize operational costs, may offer unjust wages to workers. Consequently, various frameworks are employed across societies to establish minimum wage standards. Social security stands as a fundamental indicator of the welfare levels of workers and vulnerable populations, providing a vital criterion for evaluating public satisfaction with governance. This research employs library resources, alongside descriptive-analytical and comparative approaches, to examine the relevant laws and documents within the national legal frameworks of Iran and Canada, as well as pertinent international instruments. The findings, based on the study's hypotheses, suggest that the systems governing equality in rights within Iran and Canada, as well as in international documents, emphasize the right to receive insurance benefits and secure employment as foundational elements of equality rights. Furthermore, the domains of relief and support serve to enhance these foundational structures.

Abstract:

The realization of quantum advantage with noisy-intermediate-scale quantum (NISQ) machines has become one of the major challenges in computational sciences. Maintaining coherence of a physical system with more than ten qubits is a critical challenge that motivates research on compact system representations to reduce algorithm complexity. Toward this end, the variational quantum eigensolver (VQE) used to perform quantum simulations is considered to be one of the most promising algorithms for quantum chemistry in the NISQ era. We investigate reduced mapping of one spatial orbital to a single qubit to analyze the ground state energy in a way that the Pauli operators of qubits are mapped to the creation/annihilation of singlet pairs of electrons. To include the effect of non-bosonic (or non-paired) excitations, we introduce a simple correction scheme in the electron correlation model approximated by the geometrical mean of the bosonic (or paired) terms. Employing it in a VQE algorithm, we assess ground state energies of H₂O, N₂, and Li₂O in good agreement with full configuration interaction (FCI) models respectively, using only 6, 8, and 12 qubits with quantum gate depths proportional to the squares of the qubit counts. With the adopted seniority-zero approximation that uses only one half of the qubit counts of a conventional VQE algorithm, we find that our non-bosonic correction method reaches reliable quantum chemistry simulations at least for the tested systems.