Remove a UI component child via Layout XML

We can read the document here: http://devdocs.magento.com/guides/v2.0/howdoi/checkout/checkout_customize.html. In your case: we can apply this guide:

<page xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
      layout="1column" xsi:noNamespaceSchemaLocation="urn:magento:framework:View/Layout/etc/page_configuration.xsd">
    <body>
        <referenceBlock name="checkout.root">
            <arguments>
                <argument name="jsLayout" xsi:type="array">
                    <item name="components" xsi:type="array">
                        <item name="checkout" xsi:type="array">
                            <item name="children" xsi:type="array">
                                <item name="sidebar" xsi:type="array">
                                    <item name="children" xsi:type="array">
                                        <item name="summary" xsi:type="array">
                                            <item name="children" xsi:type="array">
                                                <item name="totals" xsi:type="array">
                                                    <item name="children" xsi:type="array">
                                                        <!--Remove fields-->
                                                        <item name="subtotal" xsi:type="array">
                                                            <item name="config" xsi:type="array">
                                                                <item name="componentDisabled" xsi:type="boolean">true</item>
                                                            </item>
                                                        </item>
                                                        <item name="shipping" xsi:type="array">
                                                            <item name="config" xsi:type="array">
                                                                <item name="componentDisabled" xsi:type="boolean">true</item>
                                                            </item>
                                                        </item>
                                                        <item name="grand-total" xsi:type="array">
                                                            <item name="config" xsi:type="array">
                                                                <item name="componentDisabled" xsi:type="boolean">true</item>
                                                            </item>
                                                        </item>
                                                    </item>
                                                </item>
                                            </item>
                                        </item>
                                    </item>
                                </item>
                            </item>
                        </item>
                    </item>
                </argument>
            </arguments>
        </referenceBlock>
    </body>
</page>

The result:

enter image description here

Read more here: http://devdocs.magento.com/guides/v2.1/howdoi/checkout/checkout_customize.html#disable-a-component

[EDIT]

Disable sidebar (Order summary) at checkout page.

<?xml version="1.0"?>
<page xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" layout="checkout"
      xsi:noNamespaceSchemaLocation="urn:magento:framework:View/Layout/etc/page_configuration.xsd">
    <body>
        <referenceBlock name="checkout.root">
            <arguments>
                <argument name="jsLayout" xsi:type="array">
                    <item name="components" xsi:type="array">
                        <item name="checkout" xsi:type="array">
                            <item name="children" xsi:type="array">
                                <item name="sidebar" xsi:type="array">
                                    <item name="config" xsi:type="array">
                                        <item name="componentDisabled" xsi:type="boolean">true</item>
                                    </item>
                                </item>
                            </item>
                        </item>
                    </item>
                </argument>
            </arguments>
        </referenceBlock>
    </body>
</page>

enter image description here