I will present experimental results for the superposition of quantum gates enabling significant computational speed-ups. I will also present the quantum simulation of two XY-interacting spins and discuss the current status of new photonic quantum technology.
Quantum simulation represents a cornerstone application for quantum computers, offering the potential to solve classically intractable problems in physics, chemistry, and materials science. Despite being one of the most accessible simulation methods, the product formula encounters challenges due to the pessimistic gate count estimation. In this work, we elucidate how observable knowledge can accelerate quantum simulations. By focusing on specific knowledge of observables, we reduce product-formula simulation errors and gate counts in both short-time and arbitrary-time scenarios. For short-time simulations, we deliberately design and tailor product formulas to achieve size-independent errors for local and certain global observables. In arbitrary-time simulations, we reveal that Pauli-summation structured observables generally reduce average errors with a typically quadratic error reduction. Our advanced error analyses, supported by numerical studies, indicate improved gate count estimation. We anticipate that the explored speed-ups can pave the way for efficiently realizing quantum simulations and demonstrating advantages on near-term quantum devices. The promise of quantum simulation is challenged by resource estimates that far exceed the capabilities of current devices. This work shows that tailoring simulations, especially product-formula methods, to the specific observable being measured provides significant speed-ups, including size-independent errors and quadratic reductions in gate counts.
There have been significant attempts previously to use the equations of quantum mechanics for generating sound, and to sonify simulated quantum processes. For new forms of computation to be utilized in computer music, eventually hardware must be utilized. This has rarely happened with quantum computer music. One reason for this is that it is currently not easy to get access to such hardware. A second is that the hardware available requires some understanding of quantum computing theory. This paper moves forward the process by utilizing two hardware quantum computation systems: IBMQASM v1.1 and a D-Wave 2X. It also introduces the ideas behind the gate-based IBM system, in a way hopefully more accessible to computerliterate readers. This is a presentation of the first hybrid quantum computer algorithm, involving two hardware machines. Although neither of these algorithms explicitly utilize the promised quantum speed-ups, they are a vital first step in introducing QC to the musical field. The article also introduces some key quantum computer algorithms and discusses their possible future contribution to computer music.
Quantum Computing allows for substantial speed-ups e.g. for integer factorization or database search, compared to conventional computation. However, since real quantum computers are an emerging technology, a significant amount of research in this domain still relies on simulations of quantum computations on conventional machines. This paper proposes a containerized environment to simulate quantum circuits, making this environment quick and easy to share within research teams. Also test the environment implementing an arithmetic circuit (Vedral’s adder) and compares the performance of two of the current more used environments: IBM QISKit and Google Cirq.