Abstract
This paper presents photonic communications and data storage capacitates for classical and quantum communications over a quantum channel. These capacities represent a generalization of Shannon’s classical channel capacity and coding theorem in two ways. First, it extends classical results for bit communication transport to all frequencies in the electromagnetic spectrum. Second, it extends the results to quantum bit (qubit) transport as well as a hybrid of classical and quantum communications. Nature’s limits on the rate at which classical and/or quantum information can be sent error-free over a quantum channel using classical and/or quantum error-correcting codes are presented as a function of the thermal background light level and Einstein zero-point energy. Graphical results are given as well as numerical results regarding communication rate limits using Planck’s natural frequency and time-interval units!
Highlights
Photonic modulation can be used, respectively, to reliably transport classical information bits as well as quantum information qubits, see Figure 1
This paper presents photonic communications and data storage capacitates for classical and quantum communications over a quantum channel
It extends the results to quantum bit transport as well as a hybrid of classical and quantum communications
Summary
Photonic modulation can be used, respectively, to reliably transport classical information bits as well as quantum information qubits, see Figure 1. Using the “secondquantization” of the electromagnetic field, quantum mechanical models for coherent photonic states and Shannon’s sphere-packing argument, the quantized analog of Shannon’s classical channel capacity and coding theorem is derived when classical or quantum information bits are transported over a quantum channel. Using this result, the unit information metric between a classical bit and a quantum bit, the qubit, is established from which the quantum channel capacity and spectral efficiency, quantum information storage density and quantum information storage capacity are developed.
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