Abstract: A process for generating an entangled state of a plurality of particles includes: providing the plurality of particles, the plurality of particles interacting via long range interactions; producing a first entangled state in a first particle; entangling the first particle with a second particle to form a second entangled state, wherein particles that are not in the second entangled state are remaining particles; and proceeding, starting with the second entangled state, to propagate entanglement in a logarithmic progression through the remaining particles in a recursive manner, to produce an intermediate entangled state, such that the intermediate entangled state acts as an initial entangled state for a next iteration, until a final entangled state is formed to generate the entangled state of the particles.

Abstract: Determining a modal amplitude of an inhomogeneous field includes: preparing an initial entangled state of a quantum sensor; subjecting the quantum sensor to the inhomogeneous field of the analyte; subjecting a first qudit sensor of the quantum sensor to a first perturbation pulse; receiving the first perturbation pulse by the first qudit sensor to prepare a first intermediate entangled state of the quantum sensor, the first intermediate entangled state comprising a first intermediate linear superposition; changing the initial linear superposition to the first intermediate linear superposition in response to receiving the first perturbation pulse by the quantum sensor; and determining a final entangled state of the quantum sensor after applying the first perturbation pulse to determine the modal amplitude of the inhomogeneous field of the analyte.

Abstract: A process for generating an entangled state of a plurality of particles includes: providing the plurality of particles, the plurality of particles interacting via long range interactions; producing a first entangled state in a first particle; entangling the first particle with a second particle to form a second entangled state, wherein particles that are not in the second entangled state are remaining particles; and proceeding, starting with the second entangled state, to propagate entanglement in a logarithmic progression through the remaining particles in a recursive manner, to produce an intermediate entangled state, such that the intermediate entangled state acts as an initial entangled state for a next iteration, until a final entangled state is formed to generate the entangled state of the particles.

Abstract: A quantum information processor (QIP) may include a plurality of quantum registers, each quantum register containing at least one nuclear spin and at least one localized electronic spin. At least some of the quantum registers may be coherently coupled to each other by a dark spin chain that includes a series of optically unaddressable spins. Each quantum register may be optically addressable, so that quantum information can be initialized and read out optically from each register, and moved from one register to another through the dark spin chain, though an adiabatic sequential swap or through free-fermion state transfer. A scalable architecture for the QIP may include an array of super-plaquettes, each super-plaquette including a lattice of individually optically addressable plaquettes coupled to each other through dark spin chains, and separately controllable by confined microwave fields so as to permit parallel operations.