Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor

AbstractIn this work, we present a Quantum Hopfield Associative Memory (QHAM) and demonstrate its capabilities in simulation and hardware using IBM Quantum Experience.. The QHAM is based on a quantum neuron design which can be utilized for many different machine learning applications and can be implemented on real quantum hardware without requiring mid-circuit measurement or reset operations. We analyze the accuracy of the neuron and the full QHAM considering hardware errors via simulation with hardware noise models as well as with implementation on the 15-qubit ibmq_16_melbourne device. The quantum neuron and the QHAM are shown to be resilient to noise and require low qubit overhead and gate complexity. We benchmark the QHAM by testing its effective memory capacity and demonstrate its capabilities in the NISQ-era of quantum hardware. This demonstration of the first functional QHAM to be implemented in NISQ-era quantum hardware is a significant step in machine learning at the leading edge of quantum computing.

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Discrete variable gate-model quantum computing

10.32388/262483 ◽

2019 ◽

Author(s):

Mark Fingerhuth ◽

Tomáš Babej ◽

Peter Wittek

Keyword(s):

Quantum Computing ◽

Discrete Variable

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Surface code quantum computing

Physics Subject Headings (PhySH) ◽

10.29172/7afc8a46-4a16-4509-8db6-2bfa23521cc4 ◽

2018 ◽

Keyword(s):

Quantum Computing ◽

Surface Code

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The Essence of Quantum Computing

10.34048/2018.1.f1 ◽

2018 ◽

Author(s):

Rajendra K. Bera

Keyword(s):

Hilbert Space ◽

Quantum Computing ◽

Quantum Physics ◽

Quantum Algorithms ◽

Quantum Computers ◽

Turing Machines ◽

Classical Physics ◽

Core Set ◽

The World ◽

Subordinate Role

It now appears that quantum computers are poised to enter the world of computing and establish its dominance, especially, in the cloud. Turing machines (classical computers) tied to the laws of classical physics will not vanish from our lives but begin to play a subordinate role to quantum computers tied to the enigmatic laws of quantum physics that deal with such non-intuitive phenomena as superposition, entanglement, collapse of the wave function, and teleportation, all occurring in Hilbert space. The aim of this 3-part paper is to introduce the readers to a core set of quantum algorithms based on the postulates of quantum mechanics, and reveal the amazing power of quantum computing.

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