Memory systems and operating method of a memory system are provided. The memory system utilized for performing a computing-in-memory (CiM) operation comprises a memory array and a processing circuit. The memory array comprises a plurality of memory cells. The processing circuit is coupled to the memory array and comprises a programming circuit and a control circuit. The programming circuit is coupled to the memory array and configured to perform a write operation for programming electrical characteristics of the memory cells. The control circuit is coupled to the programming circuit and configured to: receive a plurality of weight data corresponding to a plurality of weight values; and control the write operation performed by the programming circuit, so the electrical characteristics of the memory cells are programmed following a sequential order of the weight values.

Methods, systems and apparatus for performing windowed quantum arithmetic. In one aspect, a method for performing a product addition operation includes: determining multiple entries of a lookup table, comprising, for each index in a first set of indices, multiplying the index value by a scalar for the product addition operation; for each index in a second set of indices, determining multiple address values, comprising extracting source register values corresponding to indices between i) the index in the second set of indices, and ii) the index in the second set of indices plus the predetermined window size; and adjusting values of a target quantum register based on the determined multiple entries of the lookup table and the determined multiple address values.

Methods and apparatus for optimizing a quantum circuit. In one aspect, a method includes identifying one or more sequences of operations in the quantum circuit that un-compute respective qubits on which the quantum circuit operates; generating an adjusted quantum circuit, comprising, for each identified sequence of operations in the quantum circuit, replacing the sequence of operations with an X basis measurement and a classically-controlled phase correction operation, wherein a result of the X basis measurement acts as a control for the classically-controlled correction phase operation; and executing the adjusted quantum circuit.

The disclosure relates to the field of quantum computing, specifically to a method and device for quantum division operation with precision. The method includes: obtaining dividend data and divisor data to be operated, transforming the dividend data into a first target quantum state, and transforming the divisor data into a second target quantum state; for the first target quantum state and the second target quantum state, iteratively executing quantum state evolution corresponding to a subtraction operation, counting the number of executions of the subtraction operation until the dividend data is reduced to a negative number, and outputting a finally obtained counting result as integer part of a quotient of dividing the dividend data by the divisor data; for a current first target quantum state and a current second target quantum state, iteratively executing quantum state evolution corresponding to fractional part operation of the quotient; and outputting a finally obtained quantum state on a qubit with preset precision bits. The disclosure realizes a basic arithmetic operation that can be used in quantum circuits, and fills the gap in the related art.

Methods and apparatus for performing surface code computations using Auto-CCZ states. In one aspect, a method for implementing a delayed choice CZ operation on a first and second data qubit using a quantum computer includes: preparing a first and second routing qubit in a magic state; interacting the first data qubit with the first routing qubit and the second data qubit with the second routing qubit using a first and second CNOT operation, where the first and second data qubits act as controls for the CNOT operations; if a received first classical bit represents an off state: applying a first and second Hadamard gate to the first and second routing qubit; measuring the first and second routing qubit using Z basis measurements to obtain a second and third classical bit; and performing classically controlled fixup operations on the first and second data qubit using the second and third classical bits.

Methods and apparatus for piecewise addition into an accumulation register using one or more carry runway registers, where the accumulation register includes a first plurality of qubits with each qubit representing a respective bit of a first binary number and where each carry runway register includes multiple qubits representing a respective binary number. In one aspect, a method includes inserting the one or more carry runway registers into the accumulation register at respective predetermined qubit positions, respectively, of the accumulation register; initializing each qubit of each carry runway register in a plus state; applying one or more subtraction operations to the accumulation register, where each subtraction operation subtracts a state of a respective carry runway register from a corresponding portion of the accumulation register; and adding one or more input binary numbers into the accumulation register using piecewise addition.

Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for a hardware circuit configured as a signed multiword multiplier. The circuit includes a processing circuit that receives inputs that each have a respective bit-width. The processing circuit can represent at least one input as a signed multiword input based on the first input having a bit-width that exceeds a fixed bit-width of the hardware circuit. The circuit includes signed multipliers that are each configured to multiply signed inputs. Each signed multiplier includes multiplication circuitry configured to: receive the signed multiword input; receive a signed second input; and generate a signed output in response to multiplying the signed multiword input with the signed second input.

A data processing apparatus is provided to convert a plurality of signed digits to an output value, the data processing apparatus comprising: receiver circuitry to receive, at each of a plurality of iterations, a signed digit from the plurality of signed digits, and previous intermediate data. Conversion circuitry performs a negative-output conversion from the signed digit to an unsigned digit, such that the output value comprising the unsigned digit is negative. Concatenation circuitry concatenate bits of the unsigned digit and bits of the previous intermediate data to produce updated intermediate data and output circuitry provides the updated intermediate data as the previous intermediate data of a next iteration. After the plurality of iterations, the output circuitry outputs at least part of the updated intermediate data as the output value.

The present invention discloses a computing array based on 1T1R device, operation circuits and operating methods thereof. The computing array has 1T1R arrays and a peripheral circuit; the 1T1R array is configured to achieve operation and storage of an operation result, and the peripheral circuit is configured to transmit data and control signals to control operation and storage processes of the 1T1R arrays; the operation circuits are respectively configured to implement a 1-bit full adder, a multi-bit step-by-step carry adder and optimization design thereof, a 2-bit data selector, a multi-bit carry select adder and a multi-bit pre-calculation adder; and in the operating method corresponding to the operation circuit, initialized resistance states of the 1T1R devices, word line input signals, bit line input signals and source line input signals are controlled to complete corresponding operation and storage processes.

A chip includes a multiply accumulate module with a fixed-point general-purpose unit, a floating-point special-purpose unit, and an output selection unit. The fixed-point general-purpose unit and the floating-point special-purpose unit share one group of multipliers. In the multiply accumulate module of the chip, the fixed-point operation and the floating-point operation are integrated in one circuit, so that the multiply accumulate module implements not only the fixed-point operation, but also the floating-point operation in the circuit. Sharing the multiplier by the fixed-point operation unit and the floating-point operation unit reduces a total quantity of devices used, and reduces power consumption during operation.