18481109. Three Qubit Entangling Gate Through Two-Local Hamiltonian Control simplified abstract (Google LLC)

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Three Qubit Entangling Gate Through Two-Local Hamiltonian Control

Organization Name

Google LLC

Inventor(s)

Yuezhen Niu of El Segundo CA (US)

Vadim Smelyanskiy of Mountain View CA (US)

Sergio Boixo Castrillo of Rancho Palos Verdes CA (US)

Three Qubit Entangling Gate Through Two-Local Hamiltonian Control - A simplified explanation of the abstract

This abstract first appeared for US patent application 18481109 titled 'Three Qubit Entangling Gate Through Two-Local Hamiltonian Control

Simplified Explanation

The abstract describes methods, systems, and apparatus for implementing a quantum gate on a quantum system with a second qubit coupled to a first qubit and a third qubit. The method involves evolving the state of the quantum system for a predetermined time, with specific energy gaps between the states of the qubits.

  • The method involves evolving the state of the quantum system for a predetermined time.
  • The second qubit has specific energy gaps between its ground and excited states.
  • The first qubit and third qubit also have specific energy gaps between their states.
  • The method includes separating the excited states of the qubits by multiples of the energy gaps.

Potential Applications

This technology could be applied in quantum computing, quantum communication, and quantum cryptography.

Problems Solved

This technology solves the problem of implementing quantum gates on multi-qubit systems efficiently and accurately.

Benefits

The benefits of this technology include improved quantum gate operations, enhanced quantum system performance, and potential advancements in quantum computing capabilities.

Potential Commercial Applications

One potential commercial application of this technology could be in the development of quantum computers for various industries.

Possible Prior Art

One possible prior art could be research on quantum gates and qubit coupling in quantum systems.

Unanswered Questions

1. How does this method compare to existing quantum gate implementations in terms of efficiency and accuracy? 2. Are there any limitations or challenges in scaling this technology for larger quantum systems?


Original Abstract Submitted

Methods, systems and apparatus for implementing a quantum gate on a quantum system comprising a second qubit coupled to a first qubit and a third qubit. In one aspect, a method includes evolving a state of the quantum system for a predetermined time, wherein during evolving: the ground and first excited state of the second qubit are separated by a first energy gap ω; the first and second excited state of the second qubit are separated by a second energy gap equal to a first multiple of ω minus qubit anharmoniticity η; the ground and first excited state of the first qubit and third qubit are separated by a third energy gap equal to ω−η; and the first and second excited state of the first qubit and third qubit are separated by a fourth energy gap equal to the first multiple of the ω minus a second multiple of η.