US 2025/0061364 A1 · SYSTEMS AND METHODS FOR ENCODING AND MEASURING AN ESTIMATED VALUE FROM A DISCRETE SINC QUANTUM STATE

Abstract

Systems, apparatuses, methods, and computer program products are disclosed for encoding and measuring an estimated value from a discrete sinc quantum state. An example method includes encoding a discrete sinc quantum state representing a real value t, where amplitudes of the discrete sinc quantum state are described by an amplitude expression including a sincdπ,n function, t is bounded by (k, k+1) and k is bounded by [0, 2n). The example method further includes performing an ensemble of measurements of the discrete sinc quantum state to obtain a measured floor and ceiling of t and a ratio r of normalized measurement frequencies of quantum states |k> and |k+1> and computing the statistical interval and the estimated value of t based on r and the measured floor and ceiling of t.

Claims20

Dependent claims

A method for encoding and measuring an estimated value from a discrete sinc quantum state, the method comprising:

initializing, by state initialization circuitry, a set of n qubits by preparing the set of n qubits in an initial quantum state;
encoding, by state preparation circuitry, the discrete sinc quantum state representing a real value t, wherein amplitudes of the discrete sinc quantum state are described by an amplitude expression comprising a sincdπ,n function, wherein t is bounded by (k, k+1), wherein k is bounded by [0, 2n);
performing, by state measurement circuitry, an ensemble of measurements of the discrete sinc quantum state to obtain a measured floor of t, a measured ceiling of t, and a ratio r of normalized measurement frequencies of quantum states |k> and |k+1>;
and
computing, by value estimation circuitry, a statistical interval and the estimated value of t based on the measured floor of t, the measured ceiling of t, and the ratio r.

2 more elements

An apparatus for encoding and measuring an estimated value from a discrete sinc quantum state, the apparatus comprising:

state initialization circuitry configured to initialize a set of n qubits by preparing the set of n qubits in an initial quantum state;
state preparation circuitry configured to encode the discrete sinc quantum state representing a real value t, wherein amplitudes of the discrete sinc quantum state are described by an amplitude expression comprising a sincdπ,n function, wherein t is bounded by (k, k+1), wherein k is bounded by [0, 2n);
state measurement circuitry configured to perform an ensemble of measurements of the discrete sinc quantum state to obtain a measured floor of t, a measured ceiling of t, and a ratio r of normalized measurement frequencies of quantum states |k> and |k+1>;
and
value estimation circuitry configured to compute the statistical interval and the estimated value of t based on the measured floor of t, the measured ceiling of t, and the ratio r.

2 more elements

Dependencies are inferred from the claim text.

Systems and methods for encoding and measuring an estimated value from a discrete sinc quantum state

Life of this patent

Systems and methods for encoding and measuring an estimated value from a discrete sinc quantum state

Life of this patent

Abstract

Claims20