Abstract: Technologies for performing error correction in a quantum circuit of a quantum computing system are disclosed. A quantum error correction code (QECC) is selected. The QECC is associated with a codespace. The quantum computing system identifies, based on one or more properties of the QECC, one or more diagonal physical gates in the quantum circuit that induces a target logical gate and preserves the codespace. The quantum computing system configures the quantum computing circuit to implement a quantum error correction protocol using the QECC and at least one of the identified diagonal physical gates.

Abstract: Technologies for addressing coherent noise in a quantum system are disclosed. To passively correct for errors in measurement caused by coherent noise, the quantum system implements an error correction code such that the error correction code effectively reduces the coherent noise to act as an identity operator in a protected subspace of a Hilbert vector space.

Abstract: A method and apparatus for increasing the data rate and providing antenna diversity using multiple transmit antennas utilize a set of bits of a digital signal to generate a codeword. Delay elements may be provided in antenna output channels, or, with suitable code construction, delay may be omitted. n signals represent n symbols of a codeword are transmitted with n different transmit antennas. At the receiver, the noisy received sequence is decoded. The parallel transmission and channel coding enables an increase the data rate over previous techniques, and recovery even under fading conditions. The channel coding may be concatenated with error correction codes under appropriate conditions.

Abstract: Systems and Methods are provided for increasing the number of writes to a page of non-volatile memory before the page must be erased. According to an embodiment, instead of writing a dataword directly to memory, a codeword is written to the memory location. The codeword is selected to minimize overwrite (e.g., bit-flipping) and to maximize the spread of wear across memory cells. In accordance with various embodiments of the invention, coset coding is integrated with error correction encoding; and once the previous state of a page is determined, a coset representative is selected on the basis of maximizing the number of writes to the page before erasing.

Abstract: A method and apparatus for increasing the data rate and providing antenna diversity using multiple transmit antennas utilize a set of bits of a digital signal to generate a codeword. Delay elements may be provided in antenna output channels, or, with suitable code construction, delay may be omitted. n signals represent n symbols of a codeword are transmitted with n different transmit antennas. At the receiver, the noisy received sequence is decoded. The parallel transmission and channel coding enables an increase the data rate over previous techniques, and recovery even under fading conditions. The channel coding may be concatenated with error correction codes under appropriate conditions.

Abstract: Systems and Methods are provided for increasing the number of writes to a page of non-volatile memory before the page must be erased. According to an embodiment, instead of writing a dataword directly to memory, a codeword is written to the memory location. The codeword is selected to minimize overwrite (e.g., bit-flipping) and to maximize the spread of wear across memory cells. In accordance with various embodiments of the invention, coset coding is integrated with error correction encoding; and once the previous state of a page is determined, a coset representative is selected on the basis of maximizing the number of writes to the page before erasing.

Abstract: A method and apparatus for increasing the data rate and providing antenna diversity using multiple transmit antennas utilize a set of bits of a digital signal to generate a codeword. Delay elements may be provided in antenna output channels, or, with suitable code construction, delay may be omitted. n signals represent n symbols of a codeword are transmitted with n different transmit antennas. At the receiver, the noisy received sequence is decoded. The parallel transmission and channel coding enables an increase the data rate over previous techniques, and recovery even under fading conditions. The channel coding may be concatenated with error correction codes under appropriate conditions.

Abstract: A method and apparatus for increasing the data rate and providing antenna diversity using multiple transmit antennas utilize a set of bits of a digital signal to generate a codeword. Delay elements may be provided in antenna output channels, or, with suitable code construction, delay may be omitted. n signals represent n symbols of a codeword are transmitted with n different transmit antennas. At the receiver, the noisy received sequence is decoded. The parallel transmission and channel coding enables an increase the data rate over previous techniques, and recovery even under fading conditions. The channel coding may be concatenated with error correction codes under appropriate conditions.

Abstract: A method and apparatus for increasing the data rate and providing antenna diversity using multiple transmit antennas utilize a set of bits of a digital signal to generate a codeword. Delay elements may be provided in antenna output channels, or, with suitable code construction, delay may be omitted. n signals represent n symbols of a codeword are transmitted with n different transmit antennas. At the receiver, the noisy received sequence is decoded. The parallel transmission and channel coding enables an increase the data rate over previous techniques, and recovery even under fading conditions. The channel coding may be concatenated with error correction codes under appropriate conditions.

Abstract: A method and apparatus for increasing the data rate and providing antenna diversity using multiple transmit antennas is disclosed. A set of bits of a digital signal are used to generate a codeword. Codewords are provided according to a channel code. Delay elements may be provided in antenna output channels, or with suitable code construction delay may be omitted. n signals represent n symbols of a codeword are transmitted with n different transmit antennas. At the receiver MSLE or other decoding is used to decode the noisy received sequence. The parallel transmission and channel coding enables an increase the data rate over previous techniques, and recovery even under fading conditions. The channel coding may be concatenated with error correction codes under appropriate conditions.

Abstract: Enhanced performance is achieved by combining channel coding with the space-time coding principles. With K synchronized terminal units transmitting on N antennas to a base station having M?K receive antennas, increased system capacity and improved performance are attained by using a concatenated coding scheme where the inner code is a space-time block code and the outer code is a conventional channel error correcting code. Information symbols are first encoded using a conventional channel code, and the resulting signals are encoded using a space-time block code. At the receiver, the inner space-time block code is used to suppress interference from the other co-channel terminals and soft decisions are made about the transmitted symbols. The channel decoding that follows makes the hard decisions about the transmitted symbols. Increased data rate is achieved by, effectively, splitting the incoming data rate into multiple channels, and each channel is transmitted over its own terminal.

Abstract: A method and apparatus for increasing the data rate and providing antenna diversity using multiple transmit antennas is disclosed. A set of bits of a digital signal are used to generate a codeword. Codewords are provided according to a channel code. Delay elements may be provided in antenna output channels, or with suitable code construction delay may be omitted. n signals represent n symbols of a codeword are transmitted with n different transmit antennas. At the receiver MLSE or other decoding is used to decode the noisy received sequence. The parallel transmission and channel coding enables an increase the data rate over previous techniques, and recovery even under fading conditions. The channel coding may be concatenated with error correction codes under appropriate conditions.

Abstract: A method and apparatus for increasing the data rate and providing antenna diversity using multiple transmit antennas is disclosed. A set of bits of a digital signal are used to generate a codeword. Codewords are provided according to a channel code. Delay elements may be provided in antenna output channels, or with suitable code construction delay may be omitted. n signals represent n symbols of a codeword are transmitted with n different transmit antennas. At the receiver MSLE or other decoding is used to decode the noisy received sequence. The parallel transmission and channel coding enables an increase the data rate over previous techniques, and recovery even under fading conditions. The channel coding may be concatenated with error correction codes under appropriate conditions.

Abstract: A method and apparatus for increasing the data rate and providing antenna diversity using multiple transmit antennas is disclosed. A set of bits of a digital signal are used to generate a codeword. Codewords are provided according to a channel code. Delay elements may be provided in antenna output channels, or with suitable code construction delay may be omitted. n signals represent n symbols of a codeword are transmitted with n different transmit antennas. At the receiver MSLE or other decoding is used to decode the noisy received sequence. The parallel transmission and channel coding enables an increase the data rate over previous techniques, and recovery even under fading conditions. The channel coding may be concatenated with error correction codes under appropriate conditions.

Abstract: Enhanced performance is achieved by combining channel coding with the space-time coding principles. With K synchronized terminal units transmitting on N antennas to a base station having M?K receive antennas, increased system capacity and improved performance are attained by using a concatenated coding scheme where the inner code is a space-time block code and the outer code is a conventional channel error correcting code. Information symbols are first encoded using a conventional channel code, and the resulting signals are encoded using a space-time block code. At the receiver, the inner space-time block code is used to suppress interference from the other co-channel terminals and soft decisions are made about the transmitted symbols. The channel decoding that follows makes the hard decisions about the transmitted symbols. Increased data rate is achieved by, effectively, splitting the incoming data rate into multiple channels, and each channel is transmitted over its own terminal.

Abstract: Enhanced performance is achieved by combining channel coding with the space-time coding principles. With K synchronized terminal units transmitting on N antennas to a base station having M?K receive antennas, increased system capacity and improved performance are attained by using a concatenated coding scheme where the inner code is a space-time block code and the outer code is a conventional channel error correcting code. Information symbols are first encoded using a conventional channel code, and the resulting signals are encoded using a space-time block code. At the receiver, the inner space-time block code is used to suppress interference from the other co-channel terminals and soft decisions are made about the transmitted symbols. The channel decoding that follows makes the hard decisions about the transmitted symbols. Increased data rate is achieved by, effectively, splitting the incoming data rate into multiple channels, and each channel is transmitted over its own terminal.

Abstract: Enhanced performance is achieved by combining channel coding with the space-time coding principles. With K synchronized terminal units transmitting on N antennas to a base station having M?K receive antennas, increased system capacity and improved performance are attained by using a concatenated coding scheme where the inner code is a space-time block code and the outer code is a conventional channel error correcting code. Information symbols are first encoded using a conventional channel code, and the resulting signals are encoded using a space-time block code. At the receiver, the inner space-time block code is used to suppress interference from the other co-channel terminals and soft decisions are made about the transmitted symbols. The channel decoding that follows makes the hard decisions about the transmitted symbols. Increased data rate is achieved by, effectively, splitting the incoming data rate into multiple channels, and each channel is transmitted over its own terminal.

Abstract: Enhanced performance is achieved by combining channel coding with the space-time coding principles. With K synchronized terminal units transmitting on N antennas to a base station having M?K receive antennas, increased system capacity and improved performance are attained by using a concatenated coding scheme where the inner code is a space-time block code and the outer code is a conventional channel error correcting code. Information symbols are first encoded using a conventional channel code, and the resulting signals are encoded using a space-time block code. At the receiver, the inner space-time block code is used to suppress interference from the other co-channel terminals and soft decisions are made about the transmitted symbols. The channel decoding that follows makes the hard decisions about the transmitted symbols. Increased data rate is achieved by, effectively, splitting the incoming data rate into multiple channels, and each channel is transmitted over its own terminal.

Abstract: A radar system and method that employs polarization-time diversity in transmitting signals and concurrently processing received reflections from both polarization modes provides information about the scattering matrix of a target without loss of information. Illustratively, the transmitted signals from Golay pairs, and the processing method employs a complex-conjugate time reversal operand. The received reflected signals are processed for a particular distance in mind to develop a scattering matrix of the medium at that distance. By comparing the scattering matrix to known scattering matrices an identification of the target from where the transmitted signals were reflected is obtained.

Abstract: A radar system and method that employs polarization-time diversity in transmitting signals and concurrently processing received reflections from both polarization modes provides information about the scattering matrix of a target without loss of information. Illustratively, the transmitted signals from Golay pairs, and the processing method employs a complex-conjugate time reversal operand. The received reflected signals are processed for a particular distance in mind to develop a scattering matrix of the medium at that distance. By comparing the scattering matrix to known scattering matrices an identification of the target from where the transmitted signals were reflected is obtained.