A programmable apparatus for executing a function is disclosed. The programmable apparatus includes a physical interface configured to be connected with an external apparatus. The programmable apparatus also includes a function logic circuit configured to execute the function on the programmable apparatus. The programmable apparatus further includes a plurality of peripheral logic circuits, each of which is configured to connect the function logic circuit with the physical interface using a respective protocol. The programmable apparatus also includes a selector circuit configured to select one from among the plurality of the peripheral logic circuits to activate.

A programmable apparatus for executing a function is disclosed. The programmable apparatus includes a physical interface configured to be connected with an external apparatus. The programmable apparatus also includes a function logic circuit configured to execute the function on the programmable apparatus. The programmable apparatus further includes a plurality of peripheral logic circuits, each of which is configured to connect the function logic circuit with the physical interface using a respective protocol. The programmable apparatus also includes a selector circuit configured to select one from among the plurality of the peripheral logic circuits to activate.

A programmable apparatus for executing a function is disclosed. The programmable apparatus includes a physical interface configured to be connected with an external apparatus. The programmable apparatus also includes a function logic circuit configured to execute the function on the programmable apparatus. The programmable apparatus further includes a plurality of peripheral logic circuits, each of which is configured to connect the function logic circuit with the physical interface using a respective protocol. The programmable apparatus also includes a selector circuit configured to select one from among the plurality of the peripheral logic circuits to activate.

A programmable apparatus for executing a function is disclosed. The programmable apparatus includes a physical interface configured to be connected with an external apparatus. The programmable apparatus also includes a function logic circuit configured to execute the function on the programmable apparatus. The programmable apparatus further includes a plurality of peripheral logic circuits, each of which is configured to connect the function logic circuit with the physical interface using a respective protocol. The programmable apparatus also includes a selector circuit configured to select one from among the plurality of the peripheral logic circuits to activate.

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.

A programmable apparatus for executing a function is disclosed. The programmable apparatus includes a physical interface configured to be connected with an external apparatus. The programmable apparatus also includes a function logic circuit configured to execute the function on the programmable apparatus. The programmable apparatus further includes a plurality of peripheral logic circuits, each of which is configured to connect the function logic circuit with the physical interface using a respective protocol. The programmable apparatus also includes a selector circuit configured to select one from among the plurality of the peripheral logic circuits to activate.

A two-operand adder circuit is provided. The two-operand adder circuit may be configured to receive a bit of a second addend, a carry-in bit, and one or more bits encoding a bit of a first addend, and to provide an output representing a sum of the bit of the first addend, the bit of the second addend, and the carry-in bit.

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.

Methods and systems for memory-based computing include combining multiple operations into a single lookup table and combining multiple memory-based operation requests into a single read request. Operation result values are read from a multi-operation lookup table that includes result values for a first operation above a diagonal of the lookup table and includes result values for a second operation below the diagonal. Numerical inputs are used as column and row addresses in the lookup table and the requested operation determines which input corresponds to the column address and which input corresponds to the row address. Multiple operations are combined into a single request by combining respective members from each operation into respective inputs an reading an operation result value from a lookup table to produce a combined result output. The combined result output is separated into a plurality of individual result outputs corresponding to the plurality of requests.

A four-input lookup table (LUT4) is modified to operate in a first mode as an ordinary LUT4 and in a second mode as a 1-bit adder providing a sum output and a carry output. A six-input lookup table (LUT6) is modified to operate in a first mode as an ordinary LUT6 with a single output and in a second mode as a 2-bit adder providing a sum output and a carry output. Both possible results for the two different possible carry inputs can be determined and selected between when the carry input is available, implementing a 2-bit carry-select adder when in the second mode and retaining the ability to operate as an ordinary LUT6 in the first mode. Using the novel LUT6 design in a circuit chip fabric allows a 2-bit adder slice to be built that efficiently makes use of the LUT6 without requiring additional logic blocks.