A Parameterized Framework for Quantum Computation

Peter P. Rohde

Giuseppe Clemente, Kevin Zambello

Non-unitary protocols are already at the base of many hybrid quantum computing applications, especially in the noisy intermediate-scale quantum (NISQ) era where quantum errors typically affect the unitary evolution. However, while the framework for Parameterized Quantum Circuits is widely developed, especially for applications where the parameters are optimized towards a set goal, we find there are still interesting opportunities in defining a unified framework also for non-unitary protocols in the form of Parameterized Quantum Channels as a computing resource. We first discuss the general parameterization strategies for controlling quantum channels and their practical realizations. Then we describe a simple example of application in the context of error mitigation, where the control parameters for the quantum channels are optimized in the presence of noise, in order to maximize channel fidelity with respect to a given target channel.

Jincheng Zhang

Quantum state entanglement is a fundamental phenomenon in quantum mechanics, offering a powerful tool for computation and communication. This paper explores a novel parameterization system based on quantum state entanglement to construct quantum computation's parameterization quantum gates, aiming to enhance quantum computing performance through dynamic optimization. The core mechanism leverages entanglement to dynamically adjust gate parameters, addressing limitations of current quantum error correction. We present a theoretical framework demonstrating the potential for improved gate fidelity and reduced error rates. This research contributes to the advancement of quantum computing through the strategic application of quantum entanglement.

Craig S. Lent

H.E. Caicedo-Ortiz, Elizabeth Santiago-Cortes

Zhiding Liang, Zhixin Song, Jinglei Cheng +5 more

In this paper, we explore the integration of parameterized quantum pulses with the contextual subspace method. The advent of parameterized quantum pulses marks a transition from traditional quantum gates to a more flexible and efficient approach to quantum computing. Working with pulses allows us to potentially access areas of the Hilbert space that are inaccessible with a CNOT-based circuit decomposition. Compared to solving the complete Hamiltonian via the traditional Variational Quantum Eigensolver (VQE), the computation of the contextual correction generally requires fewer qubits and measurements, thus improving computational efficiency. Plus a Pauli grouping strategy, our framework, SpacePulse, can minimize the quantum resource cost for the VQE and enhance the potential for processing larger molecular structures.