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Wiktionary
paperless office

n. the mythical office where computers and software have made paper unnecessary.

Wikipedia
Paperless office

A paperless office is a work environment in which the use of paper is eliminated or greatly reduced. This is done by converting documents and other papers into digital form. Proponents claim that "going paperless" can save money, boost productivity, save space, make documentation and information sharing easier, keep personal information more secure, and help the environment. The concept can be extended to communications outside the office as well.

Usage examples of "paperless office".

The paperless office had been promisedfor more than a century, yet there was always more paper.

A few years ago, people were talking about the paperless office that computers were supposed to create.